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Advanced continuum mechanics with applications to finite elasicity
This course is designed to enable students to access modern advanced continuum theory, including;
tensors; two-point tensor fields; stress and strain tensors; invariant constitutive theory; strain-energy
functions; stress-strain relations for perfectly elastic materials and the variational calculus. These
notions will be illustrated with a number of special problems and applications in Finite Elasticity,
including the importance of the assumption of material incompressibility. The subject will be
developed from the perspective of energy minimization for hyperelastic materials, and will involve
several lectures on the variational calculus. The special problems in finite elasticity will include; simple
extension; simple shear; straightening and stretching of a sector of a hollow cylinder; torsion of a solid
cylinder; compression of a half-cylindrical cross-section; inflation of cylindrical tubes and hollow
spheres, and with particular reference to the neo-Hookean, Mooney and Varga strain-energy
functions. General familiarity with these topics will enable the student to access the advanced
constitutive theory that is applicable to a wide range of modern fluid and solid materials, and a basic
knowledge of tensor calculus will enable the student to readily understand general relativity and other
cosmological theories. Topics:
An introduction to mathematical epidemiology
Discrete-time and continuous-time discrete-state stochastic infection models
Numerical methods for studying stochastic infection models: EXPOKIT, transforms and their inversion
Methods for simulating stochastic infection models: classical (Gillespie) algorithm, more efficient exact
and approximate algorithms
Methods for parameterising stochastic infection models: frequentist approaches, Bayesian
approaches, approximate Bayesian computation
Optimal observation of stochastic infection models
More about this course...
Fluid Mechanics III
Fluid flows are important in many scientific and technological problems including atmospheric and oceanic circulation, energy production by chemical or nuclear combustion in engines and stars, energy utilisation in vehicles, buildings and industrial processes, and biological processes such as the flow of blood.
Considerable progress has been made in the mathematical modelling of fluid flows and this has greatly improved our understanding of these problems, but there is still much to discover. This course introduces students to the mathematical description of fluid flows and the solution of some important flow problems.
Topics covered are: the mathematical description of fluid flow in terms of Lagrangian and Eulerian coordinates; the derivation of the Euler, Navier-Stokes and Bernoulli equations from the fundamental physical principles of mass and momentum conservation; use of the stream function, velocity potential and complex potential are introduced to find solutions of the governing equations for inviscid, irrotational flow past bodies and the forces acting on those bodies; solutions of the Navier-Stokes equations for simple viscous flows.
More about this course...
Mathematical Biology III
The application of mathematics to problems arising in the life sciences is a rapidly growing area yielding quantitative understanding of questions about such things as the spread of infectious diseases, population growth and interaction, organ (e.g. heart) function, cell signalling, nutrient supply, and more. This course will introduce students to the fascinating world of modelling biological systems. A variety of biological problems will be considered, in the context of which students will be exposed to a variety of mathematical techniques. No previous exposure to biology is necessary. Topics covered are: Scalar, discrete-time models, analysed using the mathematical tools of cobwebbing and linear stability analysis of fixed points; Linear stability analysis of systems of discrete-time equations; The theory of dynamical systems for models comprised of linear and nonlinear scalar and coupled ordinary differential equations, including vector fields, phase-plane analysis and elementary bifurcation theory; Reaction-advection-diffusion models, including equation derivation from the law of mass conservation and Fick's law. The 1D Fisher equation is examined in particular, a Hamiltonian function is introduced for analysis of the steady equation, while travelling wave solutions of the unsteady equation are obtained.
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Mathematical epidemiology: Stochastic models and their statistical calibration
Mathematical models are increasingly used to inform governmental policy-makers on issues that
threaten human health or which have an adverse impact on the economy. It is this real-world success
combined with the wide variety of interesting mathematical problems which arise that makes
mathematical epidemiology one of the most exciting topics in applied mathematics. During the
summer school, you will be introduced to mathematical epidemiology and some fundamental theory
required for studying and parametrising stochastic models of infection dynamics, which will provide an
ideal basis for addressing key research questions in this area; several such questions will be
introduced and explored in this course. Topics:
An introduction to mathematical epidemiology
Discrete-time and continuous-time discrete-state stochastic infection models
Numerical methods for studying stochastic infection models: EXPOKIT, transforms and their inversion
Methods for simulating stochastic infection models: classical (Gillespie) algorithm, more efficient exact
and approximate algorithms
Methods for parameterising stochastic infection models: frequentist approaches, Bayesian
approaches, approximate Bayesian computation
Optimal observation of stochastic infection models
More about this course...
Mathematical Statistics III
Statistical methods used in practice are based on a foundation of statistical theory. One branch of this theory uses the tools of probability to establish important distributional results that are used throughout statistics. Another major branch of statistical theory is statistical inference. It deals with issues such as how do we define a "good" estimator or hypothesis test, how do we recognise one and how do we construct one? This course is concerned with the fundamental theory of random variables and statistical inference. Topics covered are: calculus of distributions, moments, moment generating functions; multivariate distributions, marginal and conditional distributions, conditional expectation and variance operators, change of variable, multivariate normal distribution, exact distributions arising in statistics; weak convergence, convergence in distribution, weak law of large numbers, central limit theorem; statistical inference, likelihood, score and information; estimation, minimum variance unbiased estimation, the Cramer-Rao lower bound, exponential families, sufficient statistics, the Rao-Blackwell theorem, efficiency, consistency, maximum likelihood estimators, large sample properties; tests of hypotheses, most powerful tests, the Neyman-Pearson lemma, likelihood ratio, score and Wald tests, large sample properties.
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Events matching "A mathematical investigation of gas storage mechan"
Inconsistent Mathematics 15:10 Fri 28 Apr 06 :: G08 Mathematics Building University of Adelaide :: Prof. Chris Mortensen
The Theory of Inconsistency arose historically from a
number of sources, such as the semantic paradoxes including The Liar
and the set-theoretic paradoxes including Russell's. But these sources
are rather too closely connected with Foundationalism: the view that
mathematics has a foundation such as logic or set theory or category
theory etc. It soon became apparent that inconsistent mathematical
structures are of interest in their own right and do not depend on the
existence of foundations. This paper will survey some of the results
in inconsistent mathematics and discuss the bearing on various
philosophical positions including Platonism, Logicism, Hilbert's
Formalism, and Brouwer's Intuitionism.
Watching evolution in real time; problems and potential research areas.
15:10 Fri 26 May 06 :: G08. Mathematics Building University of Adelaide :: Prof Alan Cooper (Federation Fellow)
Recent studies (1) have indicated problems with our
ability to use the genetic distances between species to estimate the
time since their divergence (so called molecular clocks). An
exponential decay curve has been detected in comparisons of closely
related taxa in mammal and bird groups, and rough approximations
suggest that molecular clock calculations may be problematic for the
recent past (eg <1 million years). Unfortunately, this period
encompasses a number of key evolutionary events where estimates of
timing are critical such as modern human evolutionary history, the
domestication of animals and plants, and most issues involved in
conservation biology. A solution (formulated at UA) will be briefly
outlined. A second area of active interest is the recent suggestion
(2) that mitochondrial DNA diversity does not track population size in
several groups, in contrast to standard thinking. This finding has
been interpreted as showing that mtDNA may not be evolving neutrally,
as has long been assumed.
Large ancient DNA datasets provide a means to examine these issues, by
revealing evolutionary processes in real time (3). The data also
provide a rich area for mathematical investigation as temporal
information provides information about several parameters that are
unknown in serial coalescent calculations (4).References:
- Ho SYW et al. Time dependency of molecular rate estimates and
systematic overestimation of recent divergence
times. Mol. Biol. Evol. 22, 1561-1568 (2005);
Penny D, Nature 436, 183-184 (2005).
- Bazin E., et al. Population size does not influence mitochondrial
genetic diversity in animals. Science 312, 570 (2006);
Eyre-Walker A. Size does not matter for mitochondrial DNA,
Science 312, 537 (2006).
- Shapiro B, et al. Rise and fall of the Beringian steppe
bison. Science 306: 1561-1565 (2004);
Chan et al. Bayesian estimation of the timing and severity of a
population bottleneck from ancient DNA. PLoS Genetics, 2 e59
- Drummond et al. Measurably evolving populations, Trends in
Ecol. Evol. 18, 481-488 (2003);
Drummond et al. Bayesian coalescent inference of past population
dynamics from molecular sequences. Molecular Biology Evolution
22, 1185-92 (2005).
Maths and Movie Making 15:10 Fri 13 Oct 06 :: G08 Mathematics Building University of Adelaide :: Dr Michael Anderson
Mathematics underlies many of the techniques used in
modern movie making. This talk will sketch out the movie visual
effects pipeline, discussing how mathematics is used in the various
stages and detailing some of the mathematical areas that are still
being actively researched.
The talk will finish with an overview of the type of work the speaker
is involved in, the steps that led him there and the opportunities for
mathematicians in this new and exciting area.
Mathematical modelling of multidimensional tissue growth 16:10 Tue 24 Oct 06 :: Benham Lecture Theatre :: Prof John King
Some simple continuum-mechanics-based models for the
growth of biological tissue will be formulated and their properties
(particularly with regard to stability) described.
A mathematical look at dripping honey 15:10 Fri 4 May 07 :: G08 Mathematics Building University of Adelaide :: Dr Yvonne Stokes :: University of Adelaide
Honey dripping from an upturned spoon is an everyday example of a flow that extends and breaks up into drops. Such flows have been of interest for over 300 years, attracting the attention of Plateau and Rayleigh among others. Theoretical understanding has, however, lagged behind experimental investigation, with major progress being made only in the last two decades, driven by industrial applications including ink-jet printing, spinning of polymer and glass fibres, blow-moulding of containers, light bulbs and glass tubing, and rheological measurement by fibre extension. Albeit, the exact details of the final stages of breakup are yet to be fully resolved.
An aspect that is relatively unexplored is the evolution of drop and filament from some initial configuration, and the influence of initial conditions on the final breakup. We will consider a drop of very viscous fluid hanging beneath a solid boundary, similar to honey dripping from an upturned spoon, using methods that allow examination of development and behaviour from early time, when a drop and filament begin to form, out to large times when the bulk of the fluid forms a drop at the bottom of a long thin filament which connects it with the upper boundary. The roles of gravity, inertia and surface tension will be examined.
Flooding in the Sundarbans 15:10 Fri 18 May 07 :: G08 Mathematics Building University of Adelaide :: Steve Need
The Sunderbans is a region of deltaic isles formed in the mouth of the Ganges
River on the border between India and Bangladesh. As the largest mangrove
forest in the world it is a world heritage site, however it is also home to
several remote communities who have long inhabited some regions. Many of the
inhabited islands are low-lying and are particularly vulnerable to flooding, a
major hazard of living in the region. Determining suitable levels of
protection to be provided to these communities relies upon accurate assessment
of the flood risk facing these communities. Only recently the Indian
Government commissioned a study into flood risk in the Sunderbans with a view
to determine where flood protection needed to be upgraded.
Flooding due to rainfall is limited due to the relatively small catchment sizes,
so the primary causes of flooding in the Sunderbans are unnaturally high tides,
tropical cyclones (which regularly sweep through the bay of Bengal) or some
combination of the two. Due to the link between tidal anomaly and drops in local
barometric pressure, the two causes of flooding may be highly correlated. I
propose stochastic methods for analysing the flood risk and present the early work
of a case study which shows the direction of investigation. The strategy involves
linking several components; a stochastic approximation to a hydraulic flood
routing model, FARIMA and GARCH models for storm surge and a stochastic model for
cyclone occurrence and tracking. The methods suggested are general and should have
applications in other cyclone affected regions.
Riemann's Hypothesis 15:10 Fri 31 Aug 07 :: G08 Mathematics building University of Adelaide :: Emeritus Prof. E. O. Tuck
Riemann's hypothesis (that all non-trivial zeros of the zeta function have real part one-half) is the most famous currently unproved conjecture in mathematics, and a \\$1M prize awaits its proof. The mathematical statement of this problem is only at about second-year undergraduate level; after all, the zeta function is much like the trigonometric sine function, and all (?) second-year students know that all zeros of the sine function are (real) integer multiples of $\\pi$. Many of the steps apparently needed to make progress on the proof are also not much more complicated than that level. Some of these elementary steps, together with numerical explorations, will be described here. Nevertheless the Riemann hypothesis has defied proof so far, and very complicated and advanced abstract mathematics (that will NOT be described here) is often brought to bear on it. Does it need abstract mathematics, or just a flash of elementary inspiration?
Regression: a backwards step? 13:10 Fri 7 Sep 07 :: Maths G08 :: Dr Gary Glonek
Most students of high school mathematics will have encountered the technique of fitting a line to data by least squares. Those who have taken a university statistics course will also have heard this method referred to as regression. However, it is not obvious from common dictionary definitions why this should be the case. For example, "reversion to an earlier or less advanced state or form". In this talk, the mathematical phenomenon that gave regression its name will be explained and will be shown to have implications in some unexpected contexts.
Groundwater: using mathematics to solve our water crisis 13:10 Wed 9 Apr 08 :: Napier 210 :: Dr Michael Teubner
'The driest state in the driest continent' is how South
Australia used to be described. And that was before the drought! Now
we have severe water restrictions, dead lawns, and dying gardens.
But this need not be the case. Mathematics to the rescue!
Groundwater exists below much of the Adelaide metro area. We can
store winter stormwater in the ground and use it when we need it in
summer. But we need mathematical models to understand where
groundwater exists, where we can inject stormwater and how much
can be stored, and where we can extract it: all through mathematical
models. Come along and see that we don't have a water problem, we
have a water management problem.
The Mathematics of String Theory 15:10 Fri 2 May 08 :: LG29 Napier Building University of Adelaide :: Prof. Peter Bouwknegt :: Department of Mathematics, ANU
String Theory has had, and continues to have, a profound impact on
many areas of mathematics and vice versa. In this talk I want to
address some relatively recent developments. In particular I will
argue, following Witten and others, that D-brane charges take values
in the K-theory of spacetime, rather than in integral cohomology as
one might have expected. I will also explore the mathematical
consequences of a particular symmetry, called T-duality, in this context.
I will give an intuitive introduction into D-branes and K-theory.
No prior knowledge about either String Theory, D-branes or K-theory
The limits of proof 13:10 Wed 21 May 08 :: Napier 210 :: A/Prof Finnur Larusson
The job of the mathematician is to discover new
truths about mathematical objects and their relationships.
Such truths are established by proving them. This raises a
fundamental question. Can every mathematical truth be
proved (by a sufficiently clever being) or are there truths
that will forever lie beyond the reach of proof?
Mathematics can be turned on itself to investigate this
question. In this talk, we will see that under certain
assumptions about proofs, there are truths that cannot be
proved. You must decide for yourself whether you think
these assumptions are valid!
Puzzle-based learning: Introduction to mathematics 15:10 Fri 23 May 08 :: LG29 Napier Building University of Adelaide :: Prof. Zbigniew Michalewicz :: School of Computer Science, University of Adelaide
The talk addresses a gap in the educational curriculum for 1st year students by proposing a new course that aims at getting students to think about how to frame and solve unstructured problems. The idea is to increase the student's mathematical awareness and problem-solving skills by discussing a variety of puzzles. The talk makes an argument that this approach - called Puzzle-Based Learning - is very beneficial for introducing mathematics, critical thinking, and problem-solving skills.
The new course has been approved by the University of Adelaide for Faculty of Engineering, Computer Science, and Mathematics. Many other universities are in the process of introducing such a course. The course will be offered in two versions: (a) full-semester course and (b) a unit within general course (e.g. Introduction to Engineering). All teaching materials (power point slides, assignments, etc.) are being prepared. The new textbook (Puzzle-Based Learning: Introduction to Critical Thinking, Mathematics, and Problem Solving) will be available from June 2008. The talk provides additional information on this development.
For further information see http://www.PuzzleBasedlearning.edu.au/
Computational Methods for Phase Response Analysis of Circadian Clocks 15:10 Fri 18 Jul 08 :: G04 Napier Building University of Adelaide. :: Prof. Linda Petzold :: Dept. of Mechanical and Environmental Engineering, University of California, Santa Barbara
Circadian clocks govern daily behaviors of organisms in all kingdoms of life. In mammals, the master clock resides in the suprachiasmatic nucleus (SCN) of the hypothalamus. It is composed of thousands of neurons, each of which contains a sloppy oscillator - a molecular clock governed by a transcriptional feedback network. Via intercellular signaling, the cell population synchronizes spontaneously, forming a coherent oscillation. This multi-oscillator is then entrained to its environment by the daily light/dark cycle.
Both at the cellular and tissular levels, the most important feature of the clock is its ability not simply to keep time, but to adjust its time, or phase, to signals. We present the parametric impulse phase response curve (pIPRC), an analytical analog to the phase response curve (PRC) used experimentally. We use the pIPRC to understand both the consequences of intercellular signaling and the light entrainment process. Further, we determine which model components determine the phase response behavior of a single oscillator by using a novel model reduction technique. We reduce the number of model components while preserving the pIPRC and then incorporate the resultant model into a couple SCN tissue model. Emergent properties, including the ability of the population to synchronize spontaneously are preserved in the reduction. Finally, we present some mathematical tools for the study of synchronization in a network of coupled, noisy oscillators.
Betti's Reciprocal Theorem for Inclusion and Contact Problems 15:10 Fri 1 Aug 08 :: G03 Napier Building University of Adelaide :: Prof. Patrick Selvadurai :: Department of Civil Engineering and Applied Mechanics, McGill University
Enrico Betti (1823-1892) is recognized in the mathematics community for his pioneering contributions to topology. An equally important contribution is his formulation of the reciprocity theorem applicable to elastic bodies that satisfy the classical equations of linear elasticity. Although James Clerk Maxwell (1831-1879) proposed a law of reciprocal displacements and rotations in 1864, the contribution of Betti is acknowledged for its underlying formal mathematical basis and generality. The purpose of this lecture is to illustrate how Betti's reciprocal theorem can be used to full advantage to develop compact analytical results for certain contact and inclusion problems in the classical theory of elasticity. Inclusion problems are encountered in number of areas in applied mechanics ranging from composite materials to geomechanics. In composite materials, the inclusion represents an inhomogeneity that is introduced to increase either the strength or the deformability characteristics of resulting material. In geomechanics, the inclusion represents a constructed material region, such as a ground anchor, that is introduced to provide load transfer from structural systems. Similarly, contact problems have applications to the modelling of the behaviour of indentors used in materials testing to the study of foundations used to distribute loads transmitted from structures. In the study of conventional problems the inclusions and the contact regions are directly loaded and this makes their analysis quite straightforward. When the interaction is induced by loads that are placed exterior to the indentor or inclusion, the direct analysis of the problem becomes inordinately complicated both in terns of formulation of the integral equations and their numerical solution. It is shown by a set of selected examples that the application of Betti's reciprocal theorem leads to the development of exact closed form solutions to what would otherwise be approximate solutions achievable only through the numerical solution of a set of coupled integral equations.
Assisted reproduction technology: how maths can contribute 13:10 Wed 22 Oct 08 :: Napier 210 :: Dr Yvonne Stokes
Most people will have heard of IVF (in vitro fertilisation), a
technology for helping infertile couples have a baby. Although there are
many IVF babies, many will also know that the success rate is still low
for the cost and inconvenience involved. The fact that some women
cannot make use of IVF because of life-threatening consequences is less
well known but motivates research into other technologies, including
IVM (in vitro maturation).
What has all this to do with maths? Come along and find out how
mathematical modelling is contributing to understanding and
improvement in this important and interesting field.
Oceanographic Research at the South Australian Research and Development Institute: opportunities for collaborative research 15:10 Fri 21 Nov 08 :: Napier G04 :: Associate Prof John Middleton :: South Australian Research and Development Institute
Increasing threats to S.A.'s fisheries and marine environment have underlined the increasing need for soundly based research into the ocean circulation and ecosystems (phyto/zooplankton) of the shelf and gulfs. With support of Marine Innovation SA, the Oceanography Program has within 2 years, grown to include 6 FTEs and a budget of over $4.8M. The program currently leads two major research projects, both of which involve numerical and applied mathematical modelling of oceanic flow and ecosystems as well as statistical techniques for the analysis of data. The first is the implementation of the Southern Australian Integrated Marine Observing System (SAIMOS) that is providing data to understand the dynamics of shelf boundary currents, monitor for climate change and understand the phyto/zooplankton ecosystems that under-pin SA's wild fisheries and aquaculture. SAIMOS involves the use of ship-based sampling, the deployment of underwater marine moorings, underwater gliders, HF Ocean RADAR, acoustic tracking of tagged fish and Autonomous Underwater vehicles.
The second major project involves measuring and modelling the ocean circulation and biological systems within Spencer Gulf and the impact on prawn larval dispersal and on the sustainability of existing and proposed aquaculture sites. The discussion will focus on opportunities for collaborative research with both faculty and students in this exciting growth area of S.A. science.
Hunting Non-linear Mathematical Butterflies 15:10 Fri 23 Jan 09 :: Napier LG29 :: Prof Nalini Joshi :: University of Sydney
The utility of mathematical models relies on their ability to predict the future from a known set of initial states.
But there are non-linear systems, like the weather, where future behaviours are unpredictable unless their initial
state is known to infinite precision. This is the butterfly effect. I will show how to analyse functions to overcome
this problem for the classical Painleve equations, differential equations that provide archetypical non-linear models
of modern physics.
From histograms to multivariate polynomial histograms and shape estimation 12:10 Thu 19 Mar 09 :: Napier 210 :: A/Prof Inge Koch
Histograms are convenient and easy-to-use tools for estimating the shape of
data, but they have serious problems which are magnified for multivariate data.
We combine classic histograms with shape estimation by polynomials. The new
relatives, `polynomial histograms', have surprisingly nice mathematical
properties, which we will explore in this talk. We also show how they can be
used for real data of 10-20 dimensions to analyse and understand the shape of
Unsolvable problems in mathematics 15:10 Fri 3 Jul 09 :: Badger Labs G13 Macbeth Lecture Theatre :: Prof Greg Hjorth :: University of Melbourne
In the 1900 International Congress of Mathematicians David Hilbert proposed a list of 23 landmark mathematical problems. The first of these problems was shown by Paul Cohen in 1963 to be undecidable—which is to say, in informal language, that it was in principle completely unsolvable. The tenth problem was shown by Yuri Matiyasevich to be unsolvable in 1970.
These developments would very likely have been profoundly surprising, perhaps even disturbing, to Hilbert.
I want to review some of the general history of unsolvable problems. As much as reasonably possible in the time allowed, I hope to give the audience a sense of why the appearance of unsolvable problems in mathematics was inevitable, and perhaps even desirable.
Predicting turbulence 12:10 Wed 12 Aug 09 :: Napier 210 :: Dr Trent Mattner :: University of Adelaide
Turbulence is characterised by three-dimensional unsteady fluid motion over a wide range of spatial and temporal scales. It is important in many problems of technological and scientific interest, such as drag reduction, energy production and climate prediction. In this talk, I will explain why turbulent flows are difficult to predict and describe a modern mathematical model of turbulence based on a random collection of fluid vortices.
Statistical analysis for harmonized development of systemic organs in human fetuses 11:00 Thu 17 Sep 09 :: School Board Room :: Prof Kanta Naito :: Shimane University
The growth processes of human babies have been studied
sufficiently in scientific fields, but there have still been many issues
about the developments of human fetus which are not clarified. The aim of
this research is to investigate the developing process of systemic organs of
human fetuses based on the data set of measurements of fetus's bodies and
organs. Specifically, this talk is concerned with giving a mathematical
understanding for the harmonized developments of the organs of human
fetuses. The method to evaluate such harmonies is proposed by the use of the
maximal dilatation appeared in the theory of quasi-conformal mapping.
Understanding hypersurfaces through tropical geometry 12:10 Fri 25 Sep 09 :: Napier 102 :: Dr Mohammed Abouzaid :: Massachusetts Institute of Technology
Given a polynomial in two or more variables, one may study the
zero locus from the point of view of different mathematical subjects
(number theory, algebraic geometry, ...). I will explain how tropical
geometry allows to encode all topological aspects by elementary
combinatorial objects called "tropical varieties."
Mohammed Abouzaid received a B.S. in 2002 from the University of Richmond, and a Ph.D. in 2007 from the University of Chicago under the supervision of Paul Seidel. He is interested in symplectic topology and its interactions with algebraic geometry and differential topology, in particular the homological mirror symmetry conjecture. Since 2007 he has been a postdoctoral fellow at MIT, and a Clay Mathematics Institute Research Fellow.
Modelling of the Human Skin Equivalent 15:10 Fri 26 Mar 10 :: Napier 102 :: Prof Graeme Pettet :: Queensland University of Technology
A brief overview will be given of the development of a so called Human Skin Equivalent Construct. This laboratory grown construct can be used for studying growth, response and the repair of human skin subjected to wounding and/or treatment under strictly regulated conditions. Details will also be provided of a series of mathematical models we have developed that describe the dynamics of the Human Skin Equivalent Construct, which can be used to assist in the development of the experimental protocol, and to provide insight into the fundamental processes at play in the growth and development of the epidermis in both healthy and diseased states.
The fluid mechanics of gels used in tissue engineering 15:10 Fri 9 Apr 10 :: Santos Lecture Theatre :: Dr Edward Green :: University of Western Australia
Tissue engineering could be called 'the science of spare parts'.
Although currently in its infancy, its long-term aim is to grow
functional tissues and organs in vitro to replace those which have
become defective through age, trauma or disease. Recent experiments
have shown that mechanical interactions between cells and the materials
in which they are grown have an important influence on tissue
architecture, but in order to understand these effects, we first need to
understand the mechanics of the gels themselves.
Many biological gels (e.g. collagen) used in tissue engineering have a
fibrous microstructure which affects the way forces are transmitted
through the material, and which in turn affects cell migration and other
behaviours. I will present a simple continuum model of gel mechanics,
based on treating the gel as a transversely isotropic viscous material.
Two canonical problems are considered involving thin two-dimensional
films: extensional flow, and squeezing flow of the fluid between two
rigid plates. Neglecting inertia, gravity and surface tension, in each
regime we can exploit the thin geometry to obtain a leading-order
problem which is sufficiently tractable to allow the use of analytical
methods. I discuss how these results could be exploited practically to
determine the mechanical properties of real gels. If time permits, I
will also talk about work currently in progress which explores the
interaction between gel mechanics and cell behaviour.
Exploratory experimentation and computation 15:10 Fri 16 Apr 10 :: Napier LG29 :: Prof Jonathan Borwein :: University of Newcastle
The mathematical research community is facing a great challenge to re-evaluate the role of proof in light of the growing power of current computer systems, of modern mathematical computing packages, and of the growing capacity to data-mine on the Internet. Add to that the enormous complexity of many modern capstone results such as the Poincare conjecture, Fermat's last theorem, and the Classification of finite simple groups. As the need and prospects for inductive mathematics blossom, the requirement to ensure the role of proof is properly founded remains undiminished. I shall look at the philosophical context with examples and then offer some of five bench-marking examples of the opportunities and challenges we face.
Mathematical epidemiology with a focus on households 15:10 Fri 23 Apr 10 :: Napier G04 :: Dr Joshua Ross :: University of Adelaide
Mathematical models are now used routinely to inform national and global policy-makers on issues that threaten human health or which have an adverse impact on the economy. In the first part of this talk I will provide an overview of mathematical epidemiology starting with the classical deterministic model and leading to some of the current challenges. I will then present some of my recently published work which provides computationally-efficient methods for studying a mathematical model incorporating household structure. We will conclude by briefly discussing some "work-in-progess" which utilises these methods to address the issues of inference, and mixing pattern and contact structure, for emerging infections.
Spot the difference: how to tell when two things are the same (and when they're not!) 13:10 Wed 19 May 10 :: Napier 210 :: Dr Raymond Vozzo :: University of Adelaide
High on a mathematician's to-do list is classifying objects and structures that arise in mathematics. We see patterns in things and want to know what other sorts of things behave similarly. This poses several problems. How can you tell when two seemingly different mathematical objects are the same? Can you even tell when two seemingly similar mathematical objects are the same? In fact, what does "the same" even mean? How can you tell if two things are the same when you can't even see them! In this talk, we will take a walk through some areas of maths known as algebraic topology and category theory and I will show you some of the ways mathematicians have devised to tell when two things are "the same".
The mathematics of theoretical inference in cognitive psychology 15:10 Fri 11 Jun 10 :: Napier LG24 :: Prof John Dunn :: University of Adelaide
The aim of psychology in general, and of cognitive psychology in particular, is to construct theoretical accounts of mental processes based on observed changes in performance on one or more cognitive tasks. The fundamental problem faced by the researcher is that these mental processes are not directly observable but must be inferred from changes in performance between different experimental conditions. This inference is further complicated by the fact that performance measures may only be monotonically related to the underlying psychological constructs. State-trace analysis provides an approach to this problem which has gained increasing interest in recent years. In this talk, I explain state-trace analysis and discuss the set of mathematical issues that flow from it. Principal among these are the challenges of statistical inference and an unexpected connection to the mathematics of oriented matroids.
Some thoughts on wine production 15:05 Fri 18 Jun 10 :: School Board Room :: Prof Zbigniew Michalewicz :: School of Computer Science, University of Adelaide
In the modern information era, managers (e.g. winemakers) recognize the
competitive opportunities represented by decision-support tools which can
provide a significant cost savings & revenue increases for their businesses.
Wineries make daily decisions on the processing of grapes, from harvest time
(prediction of maturity of grapes, scheduling of equipment and labour, capacity
planning, scheduling of crushers) through tank farm activities (planning and
scheduling of wine and juice transfers on the tank farm) to packaging processes
(bottling and storage activities). As such operation is quite complex, the whole
area is loaded with interesting OR-related issues. These include the issues of
global vs. local optimization, relationship between prediction and optimization,
operating in dynamic environments, strategic vs. tactical optimization, and
multi-objective optimization & trade-off analysis. During the talk we address
the above issues; a few real-world applications will be shown and discussed to
emphasize some of the presented material.
Hugs not drugs 15:10 Mon 20 Sep 10 :: Ingkarni Wardli B17 :: Dr Scott McCue :: Queensland University of Technology
I will discuss a model for drug diffusion that involves a Stefan problem with a "kinetic undercooling". I like Stefan problems, so I like this model. I like drugs too, but only legal ones of course. Anyway, it turns out that in some parameter regimes, this sophisticated moving boundary problem hardly works better than a simple linear undergraduate model (there's a lesson here for mathematical modelling). On the other hand, for certain polymer capsules, the results are interesting and suggest new means for controlled drug delivery. If time permits, I may discuss certain asymptotic limits that are of interest from a Stefan problem perspective. Finally, I won't bring any drugs with me to the seminar, but I'm willing to provide hugs if necessary.
The mathematics of smell 15:10 Wed 29 Sep 10 :: Ingkarni Wardli 5.57 :: Dr Michael Borgas :: CSIRO Light Metals Flagship; Marine and Atmospheric Research; Centre for Australian Weather and Clim
The sense of smell is important in nature, but the least well understood of our senses. A mathematical model of smell, which combines the transmission of volatile-organic-compound chemical signals (VOCs) on the wind, transduced by olfactory receptors in our noses into neural information, and assembled into our odour perception, is useful. Applications include regulations for odour nuisance, like German VDI protocols for calibrated noses, to the design of modern chemical sensors for extracting information from the environment and even for the perfume industry. This talk gives a broad overview of turbulent mixing in surface layers of the atmosphere, measurements of VOCs with PTR-MS (proton transfer reaction mass spectrometers), our noses, and integrated environmental models of the Alumina industry (a source of odour emissions) to help understand the science of smell.
Principal Component Analysis Revisited 15:10 Fri 15 Oct 10 :: Napier G04 :: Assoc. Prof Inge Koch :: University of Adelaide
Since the beginning of the 20th century, Principal Component Analysis (PCA) has been an important tool in the analysis of multivariate data. The principal components summarise data in fewer than the original number of variables without losing essential information, and thus allow a split of the data into signal and noise components. PCA is a linear method, based on elegant mathematical theory.
The increasing complexity of data together with the emergence of fast computers in the later parts of the 20th century has led to a renaissance of PCA. The growing numbers of variables (in particular, high-dimensional low sample size problems), non-Gaussian data, and functional data (where the data are curves) are posing exciting challenges to statisticians, and have resulted in new research which extends the classical theory.
I begin with the classical PCA methodology and illustrate the challenges presented by the complex data that we are now able to collect. The main part of the talk focuses on extensions of PCA: the duality of PCA and the Principal Coordinates of Multidimensional Scaling, Sparse PCA, and consistency results relating to principal components, as the dimension grows. We will also look at newer developments such as Principal Component Regression and Supervised PCA, nonlinear PCA and Functional PCA.
Mathematical modelling in nanotechnology 15:10 Fri 4 Mar 11 :: 7.15 Ingkarni Wardli :: Prof Jim Hill :: University of Adelaide
In this talk we present an overview of the mathematical modelling contributions of the Nanomechanics Groups at the Universities of Adelaide and Wollongong. Fullerenes and carbon nanotubes have unique properties, such as low weight, high strength, flexibility, high thermal conductivity and chemical stability, and they have many potential applications in nano-devices. In this talk we first present some new results on the geometric structure of carbon nanotubes and on related nanostructures. One concept that has attracted much attention is the creation of nano-oscillators, to produce frequencies in the gigahertz range, for applications such as ultra-fast optical filters and nano-antennae. The sliding of an inner shell inside an outer shell of a multi-walled carbon nanotube can generate oscillatory frequencies up to several gigahertz, and the shorter the inner tube the higher the frequency. A C60-nanotube oscillator generates high frequencies by oscillating a C60 fullerene inside a single-walled carbon nanotube. Here we discuss the underlying mechanisms of nano-oscillators and using the Lennard-Jones potential together with the continuum approach, to mathematically model the C60-nanotube nano-oscillator. Finally, three illustrative examples of recent modelling in hydrogen storage, nanomedicine and nanocomputing are discussed.
To which extent the model of Black-Scholes can be applied in the financial market? 12:10 Mon 21 Mar 11 :: 5.57 Ingkarni Wardli :: Ahmed Hamada :: University of Adelaide
Black and Scholes have introduced a new approach to model the stock price dynamics about three decades ago. The so called Black Scholes model seems to be very adapted to the nature of market prices, mainly because the usage of the Brownian motion and the mathematical properties that follow from. Like every theoretical model, put in practice, it does not appear to be flawless, that means that new adaptations and extensions should be made so that engineers and marketers could utilise the Black Scholes models to trade and hedge risk on the market. A more detailed description with application will be given in the talk.
A mathematical investigation of methane encapsulation in carbon nanotubes. 12:10 Mon 21 Mar 11 :: 5.57 Ingkarni Wardli :: Olumide Adisa :: University of Adelaide
I hope we don't have to wait until oil and coal run out before we tackle that." - Thomas Edison, 1931. In a bid to resolve energy issues consistent with Thomas Edison's worries, scientists have been looking at other clean and sustainable sources of energy such as natural gas - methane. In this talk, the interaction between a methane molecule and carbon nanotubes is investigated mathematically, using two different models - first discrete and second, continuous. These models are analyzed to determine the dimensions of the particular nanotubes which will readily suck-up methane molecules. The results determine the minimum and maximum interaction energies required for methane encapsulation in different tube sizes, and establish the second model of the methane molecule as a simple and elegant model which might be exploited for other problems.
Nanotechnology: The mathematics of gas storage in metal-organic frameworks. 12:10 Mon 28 Mar 11 :: 5.57 Ingkarni Wardli :: Wei Xian Lim :: University of Adelaide
Have you thought about what sort of car you would be driving in the future? Would it be a hybrid, solar, hydrogen or electric car? I would like to be driving a hydrogen car because my field of research may aid in their development! In my presentation I will introduce you to the world of metal-organic frameworks, which are an exciting new class of materials that have great potential in applications such as hydrogen gas storage. I will also discuss about the mathematical model that I am using to model the performance of metal-organic frameworks based on beryllium.
How to value risk 12:10 Mon 11 Apr 11 :: 5.57 Ingkarni Wardli :: Leo Shen :: University of Adelaide
A key question in mathematical finance is: given a future random payoff X, what is its value today? If X represents a loss, one can ask how risky is X. To mitigate risk it must be modelled and quantified. The finance industry has used Value-at-Risk and conditional Value-at-Risk as measures. However, these measures are not time consistent and Value-at-Risk can penalize diversification. A modern theory of risk measures is being developed which is related to solutions of backward stochastic differential equations in continuous time and stochastic difference equations in discrete time.
I first review risk measures used in mathematical finance, including static and dynamic risk measures. I recall results relating to backward stochastic difference equations (BSDEs) associated with a single jump process. Then I evaluate some numerical examples of the solutions of the backward stochastic difference equations and related risk measures. These concepts are new. I hope the examples will indicate how they might be used.
Why is a pure mathematician working in biology? 15:10 Fri 15 Apr 11 :: Mawson Lab G19 lecture theatre :: Associate Prof Andrew Francis :: University of Western Sydney
A pure mathematician working in biology should be a contradiction in
terms. In this talk I will describe how I became interested in working in
biology, coming from an algebraic background. I will also describe some
areas of evolutionary biology that may benefit from an algebraic approach.
Finally, if time permits I will reflect on the sometimes difficult
distinction between pure and applied mathematics, and perhaps venture some
thoughts on mathematical research in general.
On parameter estimation in population models 15:10 Fri 6 May 11 :: 715 Ingkarni Wardli :: Dr Joshua Ross :: The University of Adelaide
Essential to applying a mathematical model to a real-world application is
calibrating the model to data. Methods for calibrating population models
often become computationally infeasible when the populations size (more generally
the size of the state space) becomes large, or other complexities such as
time-dependent transition rates, or sampling error, are present. Here we
will discuss the use of diffusion approximations to perform estimation in several
scenarios, with successively reduced assumptions: (i) under the assumption
of stationarity (the process had been evolving for a very long time with
constant parameter values); (ii) transient dynamics (the assumption of stationarity
is invalid, and thus only constant parameter values may be assumed); and, (iii)
time-inhomogeneous chains (the parameters may vary with time) and accounting
for observation error (a sample of the true state is observed).
The Cauchy integral formula 12:10 Mon 9 May 11 :: 5.57 Ingkarni Wardli :: Stephen Wade :: University of Adelaide
In this talk I will explain a simple method used for calculating the Hilbert transform of an analytic function, and provide some assurance that this isn't a bad thing to do in spite of the somewhat ominous presence of infinite areas. As it turns out this type of integral is not without an application, as will be demonstrated by one application to a problem in fluid mechanics.
Object oriented data analysis 14:10 Thu 30 Jun 11 :: 7.15 Ingkarni Wardli :: Prof Steve Marron :: The University of North Carolina at Chapel Hill
Object Oriented Data Analysis is the statistical analysis of populations of complex objects. In the special case of Functional Data Analysis, these data objects are curves, where standard Euclidean approaches, such as principal components analysis, have been very successful. Recent developments in medical image analysis motivate the statistical analysis of populations of more complex data objects which are elements of mildly non-Euclidean spaces, such as Lie Groups and Symmetric Spaces, or of strongly non-Euclidean spaces, such as spaces of tree-structured data objects. These new contexts for Object Oriented Data Analysis create several potentially large new interfaces between mathematics and statistics. Even in situations where Euclidean analysis makes sense, there are statistical challenges because of the High Dimension Low Sample Size problem, which motivates a new type of asymptotics leading to non-standard mathematical statistics.
What is... a tensor? 12:10 Mon 25 Jul 11 :: 5.57 Ingkarni Wardli :: Mr Michael Albanese :: School of Mathematical Sciences
Tensors are important objects that are frequently used in a
variety of fields including continuum mechanics, general relativity and
differential geometry. Despite their importance, they are often defined
poorly (if at all) which contributes to a lack of understanding. In this
talk, I will give a concrete definition of a tensor and provide some
familiar examples. For the remainder of the talk, I will discuss some
applications—here I mean applications in the pure maths sense (i.e. more
abstract nonsense, but hopefully still interesting).
The Selberg integral 15:10 Fri 5 Aug 11 :: 7.15 Ingkarni Wardli :: Prof Ole Warnaar :: University of Queensland
In this talk I will give a gentle introduction to the mathematics surrounding the Selberg integral. Selberg's integral, which first appeared in two rather unusual papers by Atle Selberg in the 1940s, has become famous as much for its association with (other) mathematical greats such as Enrico Bombieri and Freeman Dyson as for its importance in algebra (Coxeter groups), geometry (hyperplane arrangements) and number theory (the Riemann hypothesis). In this talk I will review the remarkable history of the Selberg integral and discuss some of its early applications. Time permitting I will end the talk by describing some of my own, ongoing work on Selberg integrals related to Lie algebras.
AustMS/AMSI Mahler Lecture: Chaos, quantum mechanics and number theory 18:00 Tue 9 Aug 11 :: Napier 102 :: Prof Peter Sarnak :: Institute for Advanced Study, Princeton
The correspondence principle in quantum mechanics
is concerned with the relation between a mechanical
system and its quantization.
When the mechanical system are relatively orderly ("integrable"), then this relation is well understood. However when the system is chaotic much less is understood. The key
features already appear and are well illustrated in the simplest systems which we will review. For chaotic systems defined number-theoretically, much more is understood and the basic problems are connected with central questions in number theory.
The Mahler lectures are a biennial activity organised by the Australian Mathematical Society with the assistance of the Australian Mathematical Sciences Institute.
Statistical analysis of metagenomic data from the microbial community involved in industrial bioleaching 12:10 Mon 19 Sep 11 :: 5.57 Ingkarni Wardli :: Ms Susana Soto-Rojo :: University of Adelaide
In the last two decades heap bioleaching has become established as a successful commercial option for recovering copper from low-grade secondary sulfide ores. Genetics-based approaches have recently been employed in the task of characterizing mineral processing bacteria. Data analysis is a key issue and thus the implementation of adequate mathematical and statistical tools is of fundamental importance to draw reliable conclusions. In this talk I will give a recount of two specific problems that we have been working on. The first regarding experimental design and the latter on modeling composition and activity of the microbial consortium.
Statistical analysis of school-based student performance data 12:10 Mon 10 Oct 11 :: 5.57 Ingkarni Wardli :: Ms Jessica Tan :: University of Adelaide
Join me in the journey of being a statistician for 15 minutes of your day (if you are not already one) and experience the task of data cleaning without having to get your own hands dirty. Most of you may have sat the Basic Skills Tests when at school or know someone who currently has to do the NAPLAN (National Assessment Program - Literacy and Numeracy) tests. Tests like these assess student progress and can be used to accurately measure school performance. In trying to answer the research question: "what conclusions about student progress and school performance can be drawn from NAPLAN data or data of a similar nature, using mathematical and statistical modelling and analysis techniques?", I have uncovered some interesting results about the data in my initial data analysis which I shall explain in this talk.
Mathematical opportunities in molecular space 15:10 Fri 28 Oct 11 :: B.18 Ingkarni Wardli :: Dr Aaron Thornton :: CSIRO
The study of molecular motion, interaction and space at the nanoscale has become a powerful tool in the area of gas separation, storage and conversion for efficient energy solutions. Modeling in this field has typically involved highly iterative computational algorithms such as molecular dynamics, Monte Carlo and quantum mechanics. Mathematical formulae in the form of analytical solutions to this field offer a range of useful and insightful advantages including optimization, bifurcation analysis and standardization. Here we present a few case scenarios where mathematics has provided insight and opportunities for further investigation.
Mixing, dynamics, and probability 15:10 Fri 2 Mar 12 :: B.21 Ingkarni Wardli :: A/Prof Gary Froyland :: University of New South Wales
Many interesting natural phenomena are hard to predict.
When modelled as a dynamical system, this unpredictability is often the result of rapid separation of nearby trajectories.
Viewing the dynamics as acting on a probability measure, the mixing property states that two measurements (or random variables), evaluated at increasingly separated times, become independent in the time-separation limit.
Thus, the later measurement becomes increasingly difficult to predict, given the outcome of the earlier measurement.
If this approach to independence occurs exponentially quickly in time, one can profitably use linear operator tools to analyse the dynamics.
I will give an overview of these techniques and show how they can be applied to answer mathematical questions, describe observed behaviour in fluid mixing, and analyse models of the ocean and atmosphere.
IGA Workshop: The mathematical implications of gauge-string dualities 09:30 Mon 5 Mar 12 :: 7.15 Ingkarni Wardli :: Prof Rajesh Gopakumar :: Harish-Chandra Research Institute
Lecture series by Rajesh Gopakumar (Harish-Chandra Research Institute). The lectures will be supplemented by talks by other invited speakers.
Fluid mechanics: what's maths got to do with it? 13:10 Tue 20 Mar 12 :: 7.15 Ingkarni Wardli :: A/Prof Jim Denier :: School of Mathematical Sciences
We've all heard about the grand challenges in mathematics. There was the Poincare Conjecture, which has now been resolved. There is the Riemann Hypothesis which many are seeking to prove. But one of the most intriguing is the so called "Navier-Stokes Equations" problem, intriguing because it not only involves some wickedly difficult mathematics but also involves questions about our deep understanding of nature as encountered in the flow of fluids. This talk will introduce the problem (without the wickedly difficult mathematics) and discuss some of the consequences of its resolution.
The mechanics of plant root growth 15:10 Fri 30 Mar 12 :: B.21 Ingkarni Wardli :: Dr Rosemary Dyson :: University of Birmingham
Growing plant cells undergo rapid axial elongation with negligible
radial expansion: high internal turgor pressure causes viscous
stretching of the cell wall. We represent the cell wall as a thin
fibre-reinforced viscous sheet, providing insight into the geometric and
biomechanical parameters underlying bulk quantities such as wall
extensibility and showing how either dynamical changes in material
properties, achieved through changes in the cell-wall microstructure, or
passive fibre reorientation may suppress cell elongation. We then
investigate how the action of enzymes on the cell wall microstructure
can lead to the required dynamic changes in macroscale wall material
properties, and thus demonstrate a mechanism by which hormones may
regulate plant growth.
Spatial-point data sets and the Polya distribution 15:10 Fri 27 Apr 12 :: B.21 Ingkarni Wardli :: Dr Benjamin Binder :: The University of Adelaide
Spatial-point data sets, generated from a wide range of
physical systems and mathematical
models, can be analyzed by counting the number of objects in equally
sized bins. We find that the bin
counts are related to the Polya distribution. New indexes are
developed which quantify whether or not a
spatial data set is at its most evenly distributed state. Using three
case studies (Lagrangian fluid particles in chaotic laminar
flows, cellular automata agents in discrete models, and biological
cells within colonies),
we calculate the indexes and predict the spatial-state of the system.
Mathematical modelling of the surface adsorption for methane on carbon nanostructures 12:10 Mon 30 Apr 12 :: 5.57 Ingkarni Wardli :: Mr Olumide Adisa :: University of Adelaide
In this talk, methane (CH4) adsorption is investigated on both graphite and in the region between two aligned single-walled carbon nanotubes, which we refer to as the groove site. The LennardâJones potential function and the continuous approximation is exploited to determine surface binding energies between a single CH4 molecule and graphite and between a single CH4 and two aligned single-walled carbon nanotubes. The modelling indicates that for a CH4 molecule interacting with graphite, the binding energy of the system is minimized when the CH4 carbon is 3.83 angstroms above the surface of the graphitic carbon, while the binding energy of the CH4âgroove site system is minimized when the CH4 carbon is 5.17 angstroms away from the common axis shared by the two aligned single-walled carbon nanotubes. These results confirm the current view that for larger groove sites, CH4 molecules in grooves are likely to move towards the outer surfaces of one of the single-walled carbon nanotubes. The results presented in this talk are computationally efficient and are in good agreement with experiments and molecular dynamics simulations, and show that CH4 adsorption on graphite and groove surfaces is more favourable at lower temperatures and higher pressures.
Multiscale models of collective cell behaviour: Linear or nonlinear diffusion? 15:10 Fri 4 May 12 :: B.21 Ingkarni Wardli :: Dr Matthew Simpson :: Queensland University of Technology
Continuum diffusion models are often used to represent the collective motion of cell populations. Most previous studies have simply used linear diffusion to represent collective cell spreading, while others found that degenerate nonlinear diffusion provides a better match to experimental cell density profiles. There is no guidance available in the mathematical biology literature with regard to which approach is more appropriate. Furthermore, there is no knowledge of particular experimental measurements that can be made to distinguish between situations where these two models are appropriate. We provide a link between individual-based and continuum models using a multiscale approach in which we analyse the collective motion of a population of interacting agents in a generalized lattice-based exclusion process. For round agents that occupy a single lattice site, we find that the relevant continuum description is a linear diffusion equation, whereas for elongated rod-shaped agents that occupy L adjacent lattice sites we find that the relevant continuum description is a nonlinear diffusion equation related to the porous media equation. We show that there are several reasonable approaches for dealing with agent size effects, and that these different approaches are related mathematically through the concept of mean action time. We extend our results to consider proliferation and travelling waves where greater care must be taken to ensure that the continuum model replicates the discrete process. This is joint work with Dr Ruth Baker (Oxford) and Dr Scott McCue (QUT).
Index type invariants for twisted signature complexes 13:10 Fri 11 May 12 :: Napier LG28 :: Prof Mathai Varghese :: University of Adelaide
Atiyah-Patodi-Singer proved an index theorem for non-local boundary conditions
in the 1970's that has been widely used in mathematics and mathematical physics.
A key application of their theory gives the index theorem for signature operators on
oriented manifolds with boundary. As a consequence, they defined certain secondary
invariants that were metric independent. I will discuss some recent work with Benameur
where we extend the APS theory to signature operators twisted by an odd degree closed
differential form, and study the corresponding secondary invariants.
Modelling protective anti-tumour immunity using a hybrid agent-based and delay differential equation approach 15:10 Fri 11 May 12 :: B.21 Ingkarni Wardli :: Dr Peter Kim :: University of Sydney
Although cancers seem to consistently evade current medical treatments, the body's immune defences seem quite effective at controlling incipient tumours. Understanding how our immune systems provide such protection against early-stage tumours and how this protection could be lost will provide insight into designing next-generation immune therapies against cancer. To engage this problem, we formulate a mathematical model of the immune response against small, incipient tumours. The model considers the initial stimulation of the immune response in lymph nodes and the resulting immune attack on the tumour and is formulated as a hybrid agent-based and delay differential equation model.
IGA Workshop: Dendroidal sets 14:00 Tue 12 Jun 12 :: Ingkarni Wardli B17 :: Dr Ittay Weiss :: University of the South Pacific
A series of four 2-hour lectures by Dr. Ittay Weiss.
The theory of dendroidal sets was introduced by Moerdijk and Weiss in 2007 in the study of homotopy operads in algebraic topology. In the five years that have past since then several fundamental and highly non-trivial results were established. For instance, it was established that dendroidal sets provide models for homotopy operads in a way that extends the Joyal-Lurie approach to homotopy categories. It can be shown that dendroidal sets provide new models in the study of n-fold loop spaces. And it is very recently shown that dendroidal sets model all connective spectra in a way that extends the modeling of certain spectra by Picard groupoids.
The aim of the lecture series will be to introduce the concepts mentioned above, present the elementary theory, and understand the scope of the results mentioned as well as discuss the potential for further applications. Sources for the course will include the article "From Operads to Dendroidal Sets" (in the AMS volume on mathematical foundations of quantum field theory (also on the arXiv)) and the lecture notes by Ieke Moerdijk "simplicial methods for operads and algebraic geometry" which resulted from an advanced course given in Barcelona 3 years ago.
No prior knowledge of operads will be assumed nor any knowledge of homotopy theory that is more advanced then what is required for the definition of the fundamental group. The basics of the language of presheaf categories will be recalled quickly and used freely.
Introduction to quantales via axiomatic analysis 13:10 Fri 15 Jun 12 :: Napier LG28 :: Dr Ittay Weiss :: University of the South Pacific
Quantales were introduced by Mulvey in 1986 in the context of non-commutative topology with the aim of providing a concrete non-commutative framework for the foundations of quantum mechanics. Since then quantales found applications in other areas as well, among others in the work of Flagg. Flagg considers certain special quantales, called value quantales, that are desigend to capture the essential properties of ([0,\infty],\le,+) that are relevant for analysis. The result is a well behaved theory of value quantale enriched metric spaces. I will introduce the notion of quantales as if they were desigend for just this purpose, review most of the known results (since there are not too many), and address a some new results, conjectures, and questions.
Differential topology 101 13:10 Fri 17 Aug 12 :: Engineering North 218 :: Dr Nicholas Buchdahl :: University of Adelaide
Much of my recent research been directed at a problem in the
theory of compact complex surfaces---trying to fill in a gap
in the Enriques-Kodaira classification.
Attempting to classify some collection of mathematical
objects is a very common activity for pure mathematicians,
and there are many well-known examples of successful
classification schemes; for example, the classification of
finite simple groups, and the classification of simply
connected topological 4-manifolds.
The aim of this talk will be to illustrate how techniques
from differential geometry can be used to classify compact
surfaces. The level of the talk will be very elementary, and
the material is all very well known, but it is sometimes
instructive to look back over simple cases of a general
problem with the benefit of experience to gain greater
insight into the more general and difficult cases.
Infectious diseases modelling: from biology to public health policy 15:10 Fri 24 Aug 12 :: B.20 Ingkarni Wardli :: Dr James McCaw :: The University of Melbourne
The mathematical study of human-to-human transmissible pathogens has
established itself as a complementary methodology to the traditional
epidemiological approach. The classic susceptible--infectious--recovered
model paradigm has been used to great effect to gain insight into the
epidemiology of endemic diseases such as influenza and pertussis, and
the emergence of novel pathogens such as SARS and pandemic influenza.
The modelling paradigm has also been taken within the host and used to
explain the within-host dynamics of viral (or bacterial or parasite)
infections, with implications for our understanding of infection,
emergence of drug resistance and optimal drug-interventions.
In this presentation I will provide an overview of the mathematical
paradigm used to investigate both biological and epidemiological
infectious diseases systems, drawing on case studies from influenza,
malaria and pertussis research. I will conclude with a summary of how
infectious diseases modelling has assisted the Australian government in
developing its pandemic preparedness and response strategies.
Geometric quantisation in the noncompact setting 13:10 Fri 14 Sep 12 :: Engineering North 218 :: Dr Peter Hochs :: Leibniz University, Hannover
Traditionally, the geometric quantisation of an action by a compact Lie group on a compact symplectic manifold is defined as the equivariant index of a certain Dirac operator. This index is a well-defined formal difference of finite-dimensional representations, since the Dirac operator is elliptic and the manifold and the group in question are compact. From a mathematical and physical point of view however, it is very desirable to extend geometric quantisation to noncompact groups and manifolds. Defining a suitable index is much harder in the noncompact setting, but several interesting results in this direction have been obtained. I will review the difficulties connected to noncompact geometric quantisation, and some of the solutions that have been proposed so far, mainly in connection to the "quantisation commutes with reduction" principle. (An introduction to this principle will be given in my talk at the Colloquium on the same day.)
Quantisation commutes with reduction 15:10 Fri 14 Sep 12 :: B.20 Ingkarni Wardli :: Dr Peter Hochs :: Leibniz University Hannover
The "Quantisation commutes with reduction" principle is an idea from physics, which has powerful applications in mathematics. It basically states that the ways in which symmetry can be used to simplify a physical system in classical and quantum mechanics, are compatible. This provides a strong link between the areas in mathematics used to describe symmetry in classical and quantum mechanics: symplectic geometry and representation theory, respectively. It has been proved in the 1990s that quantisation indeed commutes with reduction, under the important assumption that all spaces and symmetry groups involved are compact. This talk is an introduction to this principle and, if time permits, its mathematical relevance.
Complex analysis in low Reynolds number hydrodynamics 15:10 Fri 12 Oct 12 :: B.20 Ingkarni Wardli :: Prof Darren Crowdy :: Imperial College London
It is a well-known fact that the methods of complex analysis provide great advantage
in studying physical problems involving a harmonic field satisfying Laplace's equation.
One example is in ideal fluid mechanics (infinite Reynolds number)
where the absence of viscosity, and the
assumption of zero vorticity, mean that it is possible to introduce a so-called
complex potential -- an analytic function from which all physical quantities of
interest can be inferred.
In the opposite limit of zero Reynolds number flows which are slow and viscous
and the governing fields are not harmonic
it is much less common to employ the methods of complex analysis
even though they continue to be relevant in certain circumstances.
This talk will give an overview of a variety of problems involving slow viscous Stokes
flows where complex analysis can be usefully employed to gain theoretical
insights. A number of example problems will be considered including
the locomotion of low-Reynolds-number micro-organisms and micro-robots,
the friction properties of superhydrophobic surfaces in microfluidics and
problems of viscous sintering and the manufacture of microstructured optic fibres (MOFs).
Interaction of double-stranded DNA inside single-walled carbon nanotubes 12:10 Mon 5 Nov 12 :: B.21 Ingkarni Wardli :: Mr Mansoor Alshehri :: University of Adelaide
Here we investigate the interaction of deoxyribonucleic acid (DNA) inside
single walled carbon nanotubes (SWCNTs). Using classical applied mathematical
modeling, we derive explicit analytical expressions for the encapsulation of
DNA inside single-walled carbon nanotubes. We adopt the 6-12 Lennard-Jones
potential function together with the continuous approach to determine the
preferred minimum energy position of the dsDNA molecule inside a single-walled
carbon nanotube, so as to predict its location with reference to the cross-
section of the carbon nanotube. An analytical expression is obtained in terms
of hypergeometric functions, which provides a computationally rapid procedure
to determine critical numerical values.
Einstein's special relativity beyond the speed of light 14:10 Mon 18 Mar 13 :: 7.15 Ingkarni Wardli :: Prof. Jim Hill :: School of Mathematical Sciences
We derive extended Lorentz transformations between inertial frames for relative velocities greater than the speed of light, and which are complementary to the Lorentz transformation giving rise to the Einstein special theory of relativity. The new transformations arise from the same mathematical framework as the Lorentz transformation, displaying singular behaviour when the relative velocity approaches the speed of light and generating the same addition law for velocities, but most importantly, do not involve the need to introduce imaginary masses or complicated physics to provide well-defined expressions.
The boundary conditions for macroscale modelling of a discrete diffusion system with periodic diffusivity 12:10 Mon 29 Apr 13 :: B.19 Ingkarni Wardli :: Chen Chen :: University of Adelaide
Many mathematical and engineering problems have a multiscale nature. There are a vast of theories supporting multiscale modelling on infinite domain, such as homogenization theory and centre manifold theory. To date, there are little consideration of the correct boundary conditions to be used at the edge of macroscale model. In this seminar, I will present how to derive macroscale boundary conditions for the diffusion system.
Models of cell-extracellular matrix interactions in tissue engineering 15:10 Fri 3 May 13 :: B.18 Ingkarni Wardli :: Dr Ed Green :: University of Adelaide
Tissue engineers hope in future to be able to grow functional tissues in vitro to replace those that are damaged by injury, disease, or simple wear and tear. They use cell culture methods, such as seeding cells within collagen gels, that are designed to mimic the cells' environment in vivo. Amongst other factors, it is clear that mechanical interactions between cells and the extracellular matrix (ECM) in which they reside play an important role in tissue development. However, the mechanics of the ECM is complex, and at present, its role is only partly understood. In this talk, I will present mathematical models of some simple cell-ECM interaction problems, and show how they can be used to gain more insight into the processes that regulate tissue development.
Filtering Theory in Modelling the Electricity Market 12:10 Mon 6 May 13 :: B.19 Ingkarni Wardli :: Ahmed Hamada :: University of Adelaide
In mathematical finance, as in many other fields where applied mathematics is a powerful tool, we assume that a model is good enough when it captures different sources of randomness affecting the quantity of interests, which in this case is the electricity prices. The power market is very different from other markets in terms of the randomness sources that can be observed in the prices feature and evolution. We start from suggesting a new model that simulates the electricity prices, this new model is constructed by adding a periodicity term, a jumps terms and a positives mean reverting term. The later term is driven by a non-observable Markov process. So in order to prices some financial product, we have to use some of the filtering theory to deal with the non-observable process, these techniques are gaining very much of interest from practitioners and researchers in the field of financial mathematics.
Neuronal excitability and canards 15:10 Fri 10 May 13 :: B.18 Ingkarni Wardli :: A/Prof Martin Wechselberger :: University of Sydney
The notion of excitability was first introduced in an attempt to understand firing properties of neurons. It was Alan Hodgkin who identified three basic types (classes) of excitable axons (integrator, resonator and differentiator) distinguished by their different responses to injected steps of currents of various amplitudes.
Pioneered by Rinzel and Ermentrout, bifurcation theory explains repetitive (tonic) firing patterns for adequate steady inputs in integrator (type I) and resonator (type II) neuronal models. In contrast, the dynamic behavior of differentiator (type III) neurons cannot be explained by standard dynamical systems theory. This third type of excitable neuron encodes a dynamic change in the input and leads naturally to a transient response of the neuron.
In this talk, I will show that "canards" - peculiar mathematical creatures - are well suited to explain the nature of transient responses of neurons due to dynamic (smooth) inputs. I will apply this geometric theory to a simple driven FitzHugh-Nagumo/Morris-Lecar type neural model and to a more complicated neural model that describes paradoxical excitation due to propofol anesthesia.
Progress in the prediction of buoyancy-affected turbulence 15:10 Fri 17 May 13 :: B.18 Ingkarni Wardli :: Dr Daniel Chung :: University of Melbourne
Buoyancy-affected turbulence represents a significant challenge to our
understanding, yet it dominates many important flows that occur in the
ocean and atmosphere. The presentation will highlight some recent progress
in the characterisation, modelling and prediction of buoyancy-affected
turbulence using direct and large-eddy simulations, along with implications
for the characterisation of mixing in the ocean and the low-cloud feedback
in the atmosphere. Specifically, direct numerical simulation data of
stratified turbulence will be employed to highlight the importance of
boundaries in the characterisation of turbulent mixing in the ocean. Then,
a subgrid-scale model that captures the anisotropic character of stratified
mixing will be developed for large-eddy simulation of buoyancy-affected
turbulence. Finally, the subgrid-scale model is utilised to perform a
systematic large-eddy simulation investigation of the archetypal low-cloud
regimes, from which the link between the lower-tropospheric stability
criterion and the cloud fraction interpreted.
Quantization, Representations and the Orbit Philosophy 15:10 Fri 5 Jul 13 :: B.18 Ingkarni Wardli :: Prof Nigel Higson :: Pennsylvania State University
This talk will be about the mathematics of quantization and about representation theory, where the concept of quantization seems to be especially relevant. It was discovered by Kirillov in the 1960's that the representation theory of nilpotent Lie groups (such as the group that encodes Heisenberg's commutation relations) can be beautifully and efficiently described using a vocabulary drawn from geometry and quantum mechanics. The description was soon adapted to other classes of Lie groups, and the expectation that it ought to apply almost universally has come to be called the "orbit philosophy." But despite early successes, the orbit philosophy is in a decidedly unfinished state. I'll try to explain some of the issues and some possible new directions.
News matching "A mathematical investigation of gas storage mechan"
ARC success The School of Mathematical Sciences was again very successful in attracting Australian Research Council funding for 2008. Recipients of ARC Discovery Projects are (with staff from the School highlighted):
Prof NG Bean; Prof PG Howlett; Prof CE Pearce; Prof SC Beecham; Dr AV Metcalfe; Dr JW Boland:
WaterLog - A mathematical model to implement recommendations of The Wentworth Group.
Prof RJ Elliott:
Dynamic risk measures.
(Australian Professorial Fellowship)
Dr MD Finn:
Topological Optimisation of Fluid Mixing.
Prof PG Bouwknegt; Prof M Varghese; A/Prof S Wu:
Dualities in String Theory and Conformal Field Theory in the context of the Geometric Langlands Program.
The latter grant is held through the ANU Posted Wed 26 Sep 07.
New Professor of Statistical Bioinformatics Associate Professor Patty Solomon will take up the Chair of Statistical Bioinformatics within the School of Mathematical Sciences effective from 29th of October, 2007. Posted Mon 29 Oct 07.
Mathematics Building to be demolished The existing mathematics building will be demolished to make way for a new 8-storey, 6-star building. The new building, which is expected to be completed for the start of semester 1, 2010, will house the Schools of Electrical and Electronic Engineering, Computer Science and Mathematical Sciences. The demolition will begin on 10th December 2007. See the Building Life Impact web-site for more details. Posted Mon 12 Nov 07.
School of Mathematical Sciences has a new home. From the 10th of December the School of Mathematical Sciences will be located on levels 3 and 4 of 10 Pulteney Street. The School office is located on level 3 and is open from 10:00 am to 3:00 pm, Monday to Friday. Posted Sun 9 Dec 07.
School to move to new accommodation In anticipation of the demolition of the existing Mathematics building, the School of Mathematical Sciences will be moving to new temporary accommodation. As from 10th December 2007 we can be found on level 3 (School Office) and 4 of 10 Pulteney Street. Posted Mon 10 Dec 07.
Success in Learning and Teaching Grants The School of Mathematical Sciences has been awarded two Faculty L&T awards. Congratulations to Dr David Green for his successful grant "One Simulation Modelling Instruction Module" and to Drs Adrian Koerber, Paul McCann and Jim Denier for their successful grant "Graphics Calculators and beyond". Posted Tue 11 Mar 08.
ICTAM 2008 The 2008 IUTAM International Congress of Theoretical and Applied Mechanics was hosted by the South Australian theoretical and applied mechanics community. Visit the congress web-site for full details. Posted Mon 25 Aug 08.
Teaching Fellow Position
Visiting Teaching Fellow School of Mathematical Sciences (Ref: 3808)
We are seeking a Visiting Teaching Fellow (Associate Lecturer) who will be
responsible for developing better links between the University of Adelaide
and secondary schools and developing new approaches for first-year
undergraduate teaching. You will be required to conduct tutorials in first
year mathematics and statistics subjects for up to 16 hours per week, and
assist in subject assessment and curriculum development.
This position would suit an experienced mathematics teacher with strong
mathematical training and an interest and recent involvement in teaching
advanced mathematics units in years 11 and 12. Fixed-term position available
from 19 January 2009 to 31 December 2009. Salary: (Level A) $49,053 -
$66,567 per annum.Plus an employer superannuation contribution of 17%
applies. (Closing date 14/11/08.)
Please see the University web site for further details. Posted Wed 17 Sep 08.
Mini Winter School on Geometry and Physics The Institute for Geometry and its Applications will host a Winter School on Geometry and Physics on 20-22 July 2009. There will be three days of expository lectures aimed at 3rd year and honours students interested in postgraduate studies in pure mathematics or mathematical physics. Posted Wed 24 Jun 09.
Three post-doc positions advertised The School of Mathematical Sciences is seeking to appoint three post-doctoral research associates. These positions have now closed. Posted Wed 29 Jul 09.
Adelaide becomes full member of the Australian Mathematical Sciences Institute The University of Adelaide, through the School of Mathematical Sciences, has recently become a full member of the Australian Mathematical Sciences Institute. AMSI undertakes wide ranging activities to support the Mathematical Sciences within Australia. Full details of AMSI and their activities can be found on their website Posted Wed 29 Jul 09.
Prizegiving photographs now available Congratulations again to all of the 2008 School of Mathematical Sciences student prizewinners. A selection of photographs from the prizegiving evening at the Museum of South Australia is now available. Posted Wed 26 Aug 09.
Sam Cohen wins prize for best student talk at Aust MS 2009 Congratulations to Mr Sam Cohen, a PhD student within the School, who was awarded the B. H. Neumann Prize for the best student paper at the 2009 meeting of the Australian Mathematical Society for his talk on
Dynamic Risk Measures and Nonlinear Expectations with Markov Chain noise. Posted Tue 6 Oct 09.
Welcome to Dr Joshua Ross We welcome Dr Joshua Ross as a new lecturer in the School of Mathematical Sciences. Joshua has moved over to Adelaide from the University of Cambridge. His research interests are mathematical modelling (especially mathematical biology) and operations research. Posted Mon 15 Mar 10.
Group of Eight review The Go8 Review of Mathematics and Quantitative Disciplines has been released and is now available on the
Posted Sat 20 Mar 10.
Maths by Email has arrived Maths by Email is an initiative of CSIRO and the Australian Mathematical Sciences Institute. It is a free fortnightly email newsletter featuring maths news and events. To find out more, including how to subscribe, go to the
Maths by Email website. Posted Thu 8 Apr 10.
We're in Innova 21 The School of Mathematical Sciences has moved to Floors 6 and 7 of the new Innova 21 building. The School Reception is located on Floor 6.
Posted Sun 18 Jul 10.
Prize Giving Dinner The School of Mathematical Sciences Prize Giving Dinner was held on 29th of July in the Pacific Cultures Gallery of the South Australian Museum. Photos from the evening can be
Posted Thu 29 Jul 10.
IGA Lecture Series by Professor Dan Freed The School of Mathematical Sciences will host a series of lectures by Professor Dan Freed (University of Texas, Austin) as part of an upcoming IGA/AMSI workshop, October 18-22, 2010. Details of the workshop can be found here. Posted Tue 5 Oct 10.
ARC Grant successes The School of Mathematical Sciences has again had outstanding success in the ARC Discovery and Linkage Projects schemes.
Congratulations to the following staff for their success in the Discovery Project scheme:
Prof Nigel Bean, Dr Josh Ross, Prof Phil Pollett, Prof Peter Taylor, New methods for improving active adaptive management in biological systems, $255,000 over 3 years;
Dr Josh Ross, New methods for integrating population structure and stochasticity into models of disease dynamics, $248,000 over three years;
A/Prof Matt Roughan, Dr Walter Willinger, Internet traffic-matrix synthesis, $290,000 over three years;
Prof Patricia Solomon, A/Prof John Moran, Statistical methods for the analysis of critical care data, with application to the Australian and New Zealand Intensive Care Database, $310,000 over 3 years;
Prof Mathai Varghese, Prof Peter Bouwknegt, Supersymmetric quantum field theory, topology and duality, $375,000 over 3 years;
Prof Peter Taylor, Prof Nigel Bean, Dr Sophie Hautphenne, Dr Mark Fackrell, Dr Malgorzata O'Reilly, Prof Guy Latouche, Advanced matrix-analytic methods with applications, $600,000 over 3 years.
Congratulations to the following staff for their success in the Linkage Project scheme:
Prof Simon Beecham, Prof Lee White, A/Prof John Boland, Prof Phil Howlett, Dr Yvonne Stokes, Mr John Wells, Paving the way: an experimental approach to the mathematical modelling and design of permeable pavements, $370,000 over 3 years;
Dr Amie Albrecht, Prof Phil Howlett, Dr Andrew Metcalfe, Dr Peter Pudney, Prof Roderick Smith, Saving energy on trains - demonstration, evaluation, integration, $540,000 over 3 years
Posted Fri 29 Oct 10.
New Fellow of the Australian Academy of Science Professor Mathai Varghese, Professor of Pure Mathematics and ARC Professorial Fellow within the School of Mathematical Sciences, was elected to the Australian Academy of Science. Professor Varghese's citation read "for his distinguished for his work in geometric analysis involving the topology of manifolds, including the Mathai-Quillen formalism in topological field theory.". Posted Tue 30 Nov 10.
ARC Grant successes The School of Mathematical Sciences has again been successful in securing funding through the ARCs Linkage Project Scheme.
Congratulations to Tong Roberts for his success in the ARCs Linkage Projects scheme:
Prof Pavel Bedrikovetski, Prof Anthony J Roberts, A/Prof Andrei G Kotooussov, Prof Mark JBiggs, Prof Sheik S Rahman, Dr Yildiray Cinar, Dr Mark R Tingay, Dr Manouchehr Haghighi, A/Prof Phillip Pendleton, Dr John D Codrington, Mr Jose T Rodrigues, Mr Imran Abbasy, Novel technology for enhanced coal seam gas production utilising mechanisms of stimulated cleat permeability through graded particle injection $360,000 over three years.
Posted Wed 1 Jun 11.
Inaugural winner of the Alf van der Poorten Travelling Fellowship Congratulations to Dr Ray Vozzo who has been awarded the inaugural Alf van der Poorten Travelling Fellowship from the Australian Mathematical Society. Ray will use the fellowship to attend a meeting in Potsdam and visit colleagues in the United Kingdom. Posted Wed 20 Jul 11.
First Australian-New Zealand Rotating Flows Workshop The first Australian-New Zealand Rotating Flow Workshop will be held from 9th to 11th of January 2012. The workshop, organised by the School of Mathematical Sciences at the University of Adelaide and the Department of Engineering Science at the University of Auckland, will bring together world leading researchers in the broad field of rotating flows. The workshop is sponsored by AMSI, the School of Mathematical Sciences, the University of Auckland and the Royal Society of New Zealand.
Please visit the workshop website for further details. Posted Sat 24 Sep 11.
Best paper prize at Membrane Symposium Congratulations to Wei Xian Lim who was awarded the prize for the best student presentation at the Membrane Society of Australasia 2011 ECR Membrane Symposium for her talk on "Mathematical modelling of gas capture in porous materials". Xian is working on her PhD with Jim Hill and Barry Cox. Posted Mon 28 Nov 11.
The mathematical implications of gauge-string dualities Between Monday 5 and Friday 9 March 2012, the Institute for Geometry and its Applications will host a lecture series by Rajesh Gopakumar from the Harish-Chandra Research Institute. These lectures will be supplemented by talks by other invited speakers. Posted Tue 6 Dec 11.
Top-up scholarship available A PhD opportunity is available to help in mathematical modelling of the interaction of ocean waves and sea ice. For information, see this advertisement. Posted Thu 1 Nov 12.
Summer Research Student Thomas Brown wins the AMSI/Cambridge University Press Prize for 2013 Congratulations to Thomas Brown, jointly supervised by Ed Green and Ben Binder who won the AMSI/Cambridge University Press Prize for the best talk at the 2013 CSIRO Big Day In, recently held this month.
After completion of their summer project, vacation scholars must submit a project report which summarises the project and addresses the nature of the topic, methods of investigation, results found, and benefits of the experience. The scholars then present a 15-minute presentation about their project at the CSIRO Big Day In (BDI). This experience enables students to meet and socialise with their peers, gain experience presenting to their colleagues and supervisors and learn about a range of careers in science by interacting with several CSIRO scientists (including mathematicians) in a discussion panel.
This is a very pleasing result for Thomas, Ed and Ben as well as for the School of Mathematical Sciences. Well done Thomas.
Posted Fri 15 Feb 13.
Publications matching "A mathematical investigation of gas storage mechan"
|Inversion of analytically perturbed linear operators that are singular at the origin|
Howlett, P; Avrachenkov, K; Pearce, Charles; Ejov, V, Journal of Mathematical Analysis and Applications 353 (68–84) 2009
|Medical imaging and processing methods for cardiac flow reconstruction|
Wong, Kelvin; Kelso, Richard; Worthley, Stephen; Sanders, Prashanthan; Mazumdar, Jagan; Abbott, Derek, Journal of Mechanics in Medicine and Biology 9 (1–20) 2009
|Non-commutative correspondences, duality and D-branes in bivariant K-theory|
Brodzki, J; Varghese, Mathai; Rosenberg, J; Szabo, R, Advances in Theoretical and Mathematical Physics 13 (497–552) 2009
|On Markov-modulated exponential-affine bond price formulae|
Elliott, Robert; Siu, T, Applied Mathematical Finance 16 (1–15) 2009
|On satisfying the radiation condition in free-surface flows|
Binder, Benjamin; Vanden-Broeck, J; Dias, F, Journal of Fluid Mechanics 624 (179–189) 2009
|T-duality as a duality of loop group bundles|
Bouwknegt, Pier; Varghese, Mathai, Journal of Physics A: Mathematical and Theoretical (Print Edition) 42 (162001-1–162001-8) 2009
|A discrete version of the Riemann Hilbert problem|
Larusson, Finnur; Sadykov, T, Russian Mathematical Surveys 63 (973–975) 2008
|D-branes, RR-fields and duality on noncommutative manifolds|
Brodzki, J; Varghese, Mathai; Rosenberg, J; Szabo, R, Communications in Mathematical Physics 277 (643–706) 2008
|Dessins d'enfants and differential equations|
Larusson, Finnur; Sadykov, T, St Petersburg Mathematical Journal 19 (1003–1014) 2008
|Evolving gene frequencies in a population with three possible alleles at a locus|
Hajek, Bronwyn; Broadbridge, P; Williams, G, Mathematical and Computer Modelling 47 (210–217) 2008
|Mathematical modeling as an accurate predictive tool in capillary and microstructured fiber manufacture: The effects of preform rotation|
Voyce, Christopher; Fitt, A; Monro, Tanya, Journal of Lightwave Technology 26 (791–798) 2008
|Mathematical modeling of glucose supply toward successful in vitro maturation of mammalian oocytes|
Stokes, Yvonne; Clark, Alys; Thompson, Jeremy, Tissue Engineering. Part A. Tissue Engineering 14 (1539–1547) 2008
|The (Gamma)over-cap-genus and a regularization of an S1-equivariant Euler class|
Lu, Rongmin, Journal of Physics A: Mathematical and Theoretical (Print Edition) 41 (425204-1–425204-13) 2008
|The mathematical modelling of rotating capillary tubes for holey-fibre manufacture|
Voyce, Christopher; Fitt, A; Monro, Tanya, Journal of Engineering Mathematics 60 (69–87) 2008
|Preliminary investigation of impulsively blocked pipe flow|
Toophanpour Rami, Mehdi; Hassan, Eyad; Kelso, Richard; Denier, James, 16th Australasian Fluid Mechanics Conference, Gold Coast, Australia 03/12/07
|A combinatorial formula for homogeneous moments|
Eastwood, Michael; Romao, Nuno, Mathematical Proceedings of the Cambridge Philosophical Society 142 (153–160) 2007
|A note on N-k configurations and theorems in projective space|
Glynn, David, Bulletin of the Australian Mathematical Society 76 (15–31) 2007
|Entire cyclic homology of stable continuous trace algebras|
Varghese, Mathai; Stevenson, Daniel, Bulletin of the London Mathematical Society 39 (71–75) 2007
|Spectral curves and the mass of hyperbolic monopoles|
Norbury, Paul; Romao, Nuno, Communications in Mathematical Physics 270 (295–333) 2007
|The effect of disturbances on the flows under a sluice gate and past an inclined plate|
Binder, Benjamin; Vanden-Broeck, J, Journal of Fluid Mechanics 576 (475–490) 2007
|Laguerre geometries and some connections to generalized quadrangles|
Brown, Matthew, Journal of the Australian Mathematical Society 83 (335–355) 2007
|Flux compactifications on projective spaces and the S-duality puzzle|
Bouwknegt, Pier; Evslin, J; Jurco, B; Varghese, Mathai; Sati, Hicham, Advances in Theoretical and Mathematical Physics 10 (345–394) 2006
|Mathematical analysis of an extended mumford-shah model for image segmentation|
Tao, Trevor; Crisp, David; Van Der Hoek, John, Journal of Mathematical Imaging and Vision 24 (327–340) 2006
|Mathematical modelling of oxygen concentration in bovine and murine cumulus-oocyte complexes|
Clark, Alys; Stokes, Yvonne; Lane, Michelle; Thompson, Jeremy, Reproduction 131 (999–1006) 2006
|Nonassociative Tori and Applications to T-Duality|
Bouwknegt, Pier; Hannabuss, K; Varghese, Mathai, Communications in Mathematical Physics 264 (41–69) 2006
|T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group|
Varghese, Mathai; Rosenberg, J, Advances in Theoretical and Mathematical Physics 10 (123–158) 2006
|The instability of the flow in a suddenly blocked pipe|
Jewell, Nathaniel; Denier, James, Quarterly Journal of Mechanics and Applied Mathematics 59 (651–673) 2006
|Yang-Mills theory for bundle gerbes|
Varghese, Mathai; Roberts, David, Journal of Physics A: Mathematical and Theoretical (Print Edition) 39 (6039–6044) 2006
|An accurate and comprehensive model of thin fluid flows with inertia on curved substrates|
Roberts, Anthony John; Li, Z, Journal of Fluid Mechanics 553 (33–73) 2006
|Resolving the multitude of microscale interactions accurately models stochastic partial differential equations|
Roberts, Anthony John, London Mathematical Society. Journal of Computation and Mathematics 9 (193–221) 2006
|Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis|
Clarke, Richard; Jensen, O; Billingham, J; Williams, P, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 462 (913–933) 2006
|Analysis of a practical control policy for water storage in two connected dams|
Howlett, P; Piantadosi, J; Pearce, Charles, chapter in Continuous optimization: Current trends and modern applications (Springer) 435–450, 2005
|Rumours, partitions mathematical genealogy|
Pearce, Charles, chapter in Proceedings of the fourth brazilian symposium on mathematical and computational biology / First international symposium on mathematical and computational biology (E-papers Servicos Editorials Ltda) 357–375, 2005
|An inverse modelling technique for glass forming by gravity sagging|
Agnon, Y; Stokes, Yvonne, European Journal of Mechanics B-Fluids 24 (275–287) 2005
|Arithmetic properties of eigenvalues of generalized harper operators on graphs|
Dodziuk, Josef; Varghese, Mathai; Yates, Stuart, Communications in Mathematical Physics 262 (269–297) 2005
|Best causal mathematical models for a nonlinear system|
Torokhti, Anatoli; Howlett, P; Pearce, Charles, IEEE Transactions on Circuits and Systems I - regular papers 52 (1013–1020) 2005
|Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories|
Carey, Alan; Johnson, Stuart; Murray, Michael; Stevenson, Daniel; Wang, Bai-Ling, Communications in Mathematical Physics 259 (577–613) 2005
|Characterizations of continuous distributions and associated goodness of fit tests|
Morris, Kerwin; Szynal, D, Journal of Mathematical Sciences 131 (5630–5645) 2005
|Gauged vortices in a background|
Romao, Nuno, Journal of Physics A: Mathematical and Theoretical (Print Edition) 38 (9127–9144) 2005
|Hamiltonian dynamics and morse topology of humanoid robots|
Ivancevic, V; Pearce, Charles, Global Journal of Mathematics and Mathematical Sciences (GJMMS) 1 (9–19) 2005
|On the growth (and suppression) of very short-scale disturbances in mixed forced-free convection boundary layers|
Denier, James; Duck, P; Li, J-M, Journal of Fluid Mechanics 526 (147–170) 2005
|Riemann-Siegel sums via stationary phase|
Tuck, Ernest, Bulletin of the Australian Mathematical Society 72 (325–328) 2005
|Sufficient conditions for convexity in a class of functions arising in telecommunications|
Peake, M; Pearce, Charles, Mathematical Inequalities & Applications 8 (365–372) 2005
|T-duality for principal torus bundles and dimensionally reduced Gysin sequences|
Bouwknegt, Pier; Hannabuss, K; Varghese, Mathai, Advances in Theoretical and Mathematical Physics 9 (1–25) 2005
|T-duality for torus bundles with H-fluxes via noncommutative topology|
Varghese, Mathai; Rosenberg, J, Communications in Mathematical Physics 253 (705–721) 2005
|Tests resulting from characterizations using record values|
Morris, Kerwin; Szynal, D, Journal of Mathematical Sciences 131 (5646–5656) 2005
|The drag on a microcantilever oscillating near a wall|
Clarke, Richard; Cox, Stephen; Williams, P; Jensen, O, Journal of Fluid Mechanics 545 (397–426) 2005
|Deterministic and stochastic modelling of endosome escape by Staphylococcus aureus: "quorum" sensing by a single bacterium|
Koerber, Adrian; King, J; Williams, P, Journal of Mathematical Biology 50 (440–488) 2005
|The Cartan Product|
Eastwood, Michael, Bulletin of the Belgian Mathematical Society-Simon Stevin 11 (641–651) 2005
|Investigation and modelling of traffic issues in immersive audio environments|
McMahon, Jeremy; Rumsewicz, Michael; Boustead, P; Safaei, F, 2004 IEEE International Conference on Communications, Paris, France 20/06/04
|Asymptotic matching constraints for a boundary-layer flow of a power-law fluid|
Denier, James; Hewitt, R, Journal of Fluid Mechanics 518 (261–279) 2004
Stevenson, Daniel, Proceedings of the London Mathematical Society 88 (405–435) 2004
|Characters of the discrete Heisenberg group and of its completion|
Tandra, Haryono; Moran, W, Mathematical Proceedings of the Cambridge Philosophical Society 136 (525–539) 2004
|Eggs in PG(4n - 1, q), q even, containing a pseudo-conic|
Brown, Matthew; Lavrauw, M, Bulletin of the London Mathematical Society 36 (633–639) 2004
|Goodness-of-fit tests using dual versions of characterizations via moments of order statistics|
Morris, Kerwin; Szynal, D, Journal of Mathematical Sciences 122 (3365–3383) 2004
|Goodness-of-fit tests using dual versions of characterizations via moments of record values|
Morris, Kerwin; Szynal, D, Journal of Mathematical Sciences 122 (3384–3403) 2004
|M-theory, type IIA superstrings, and elliptic cohomology|
Kriz, I; Sati, Hicham, Advances in Theoretical and Mathematical Physics 8 (345–394) 2004
|On dual characterizations of continuous distributions in terms of expected values of two functions of order statistics and record values|
Alinowska, I; Morris, Kerwin; Szynal, D, Journal of Mathematical Sciences 121 (2664–2673) 2004
|On the boundary-layer equations for power-law fluids|
Denier, James; Dabrowski, Paul, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 460 (3143–3158) 2004
|T-duality: Topology change from H-flux|
Bouwknegt, Pier; Evslin, J; Varghese, Mathai, Communications in Mathematical Physics 249 (383–415) 2004
|The role of inertia in extensional fall of a viscous drop|
Stokes, Yvonne; Tuck, Ernest, Journal of Fluid Mechanics 498 (205–225) 2004
|Cell-signalling repression in bacterial quorum sensing|
Ward, J; King, J; Koerber, Adrian; Croft, J; Sockett, R; Williams, P, Mathematical Medicine and Biology (Print Edition) 21 (169–204) 2004
|Connes-Dixmier traces, singular symmetric functionals, and measurable elements in the sense of Connes|
Lord, Steven; Sedaev, A; Sukochev, F, Mathematical Notes 76 (884–889) 2004
|Two-zone model of shear dispersion in a channel using centre manifolds|
Roberts, Anthony John; Strunin, D, Quarterly Journal of Mechanics and Applied Mathematics 57 (363–378) 2004
|A Probabilistic algorithm for determining the fundamental matrix of a block M/G/1 Markov chain|
Hunt, Emma, Mathematical and Computer Modelling 38 (1203–1209) 2003
|A general fractional white noise theory and applications to finance|
Elliott, Robert; Van Der Hoek, John, Mathematical Finance 13 (301–330) 2003
|A note on monopole moduli spaces|
Murray, Michael; Singer, Michael, Journal of Mathematical Physics 44 (3517–3531) 2003
|A philosophy for the modelling of realistic nonlinear systems|
Howlett, P; Torokhti, Anatoli; Pearce, Charles, Proceedings of the American Mathematical Society 132 (353–363) 2003
|An approximate formula for the stress intensity factor for the pressurized star crack|
Clements, David; Widana, Inyoman, Mathematical and Computer Modelling 37 (689–694) 2003
|Chern character in twisted K-theory: Equivariant and holomorphic cases|
Varghese, Mathai; Stevenson, Daniel, Communications in Mathematical Physics 236 (161–186) 2003
|Complex analysis and the Funk transform|
Bailey, T; Eastwood, Michael; Gover, A; Mason, L, Journal of the Korean Mathematical Society 40 (577–593) 2003
|Dynamics of the cell and its extracellular matrix - A simple mathematical approach|
Saha, Asit; Mazumdar, Jagan, IEEE Transactions on NanoBioscience 2 (89–93) 2003
|Exponential stability and partial averaging|
Grammel, G; Maizurna, Isna, Journal of Mathematical Analysis and Applications 283 (276–286) 2003
|Higgs fields, bundle gerbes and string structures|
Murray, Michael; Stevenson, Daniel, Communications in Mathematical Physics 243 (541–555) 2003
|Optimal mathematical models for nonlinear dynamical systems|
Torokhti, Anatoli; Howlett, P; Pearce, Charles, Mathematical and Computer Modelling of Dynamical Systems 9 (327–343) 2003
|Rumours, epidemics, and processes of mass action: Synthesis and analysis|
Dickinson, Rowland; Pearce, Charles, Mathematical and Computer Modelling 38 (1157–1167) 2003
|The generalised Hadamard inequality, g-convexity and functional Stolarsky means|
Neuman, E; Pearce, Charles; Pecaric, Josip; Simic, V, Bulletin of the Australian Mathematical Society 68 (303–316) 2003
|Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics|
Roberts, Anthony John, chapter in Nonlinear dynamics: from lasers to butterflies (World Scientific Publishing) 257–313, 2003
|Approximating Spectral invariants of Harper operators on graphs II|
Varghese, Mathai; Schick, T; Yates, S, Proceedings of the American Mathematical Society 131 (1917–1923) 2003
|Early development and quorum sensing in bacterial biofilms|
Ward, J; King, J; Koerber, Adrian; Croft, J; Sockett, R; Williams, P, Journal of Mathematical Biology 47 (23–55) 2003
|Modelling host tissue degradation by extracellular bacterial pathogens|
King, J; Koerber, Adrian; Croft, J; Ward, J; Williams, P; Sockett, R, Mathematical Medicine and Biology (Print Edition) 20 (227–260) 2003
|Vortical flow. Part 2. Flow past a sphere in a constant-diameter pipe|
Mattner, Trent; Joubert, P; Chong, Min, Journal of Fluid Mechanics 481 (1–36) 2003
|14th Australasian Fluid Mechanics Conference - Preface|
Dally, Bassam; Kelso, Richard; Nathan, Graham; Denier, James, Experimental Thermal and Fluid Science 27 (505–506) 2003
|A mathematical study of peristaltic transport of a Casson fluid|
Mernone, Anacleto; Mazumdar, Jagan; Lucas, S, Mathematical and Computer Modelling 35 (895–912) 2002
|An entire function defined by a nonlinear recurrence relation|
Hone, Andrew; Joshi, Nalini; Kitaev, Alexandre, Journal of the London Mathematical Society 66 (377–387) 2002
|Mathematical methods for spatially cohesive reserve design|
McDonnell, Mark; Possingham, Hugh; Ball, Ian; Cousins, Elizabeth, Environmental Modeling & Assessment 7 (107–114) 2002
|Means, g-convex dominated functions & Hadamard-type inequalities|
Dragomir, S; Pearce, Charles; Pecaric, Josip, Tamsui Oxford University Journal of Mathematical Sciences 18 (161–173) 2002
|On some inequalities for the moments of guessing mapping|
Dragomir, S; Pecaric, Josip; Van Der Hoek, John, Mathematical Journal of Ibaraki University 34 (1–16) 2002
|Quasilinearity & Hadamard's inequality|
Dragomir, S; Pearce, Charles, Mathematical Inequalities & Applications 5 (463–471) 2002
|The Orevkov invariant of an affine plane curve|
Neumann, W; Norbury, Paul, Transactions of the American Mathematical Society 355 (519–538) 2002
|The universal gerbe, Dixmier-Douady class, and gauge theory|
Carey, Alan; Mickelsson, J, Letters in Mathematical Physics 59 (47–60) 2002
|Twisted K-theory and K-theory of bundle gerbes|
Bouwknegt, Pier; Carey, Alan; Varghese, Mathai; Murray, Michael; Stevenson, Daniel, Communications in Mathematical Physics 228 (17–45) 2002
|The value of mathematical models|
Metcalfe, Andrew, chapter in Research methods for postgraduates (Oxford University Press) 269–278, 2002
|A lubrication model of coating flows over a curved substrate in space|
Roy, R; Roberts, Anthony John; Simpson, M, Journal of Fluid Mechanics 454 (235–261) 2002
|A mathematical model of partial-thickness burn-wound infection by Pseudomonas aeruginosa: Quorum sensing and the build-up to invasion|
Koerber, Adrian; King, J; Ward, J; Williams, P; Croft, J; Sockett, R, Bulletin of Mathematical Biology 64 (239–259) 2002
|Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models|
Melnik, R; Roberts, Anthony John; Thomas, K, Computational Mechanics 29 (16–26) 2002
|Vortical flow. Part 1. Flow through a constant-diameter pipe|
Mattner, Trent; Joubert, P; Chong, Min, Journal of Fluid Mechanics 463 (259–291) 2002
|A goodness-of-fit test for the uniform distribution based on a characterization|
Morris, Kerwin; Szynal, D, Journal of Mathematical Sciences 106 (2719–2724) 2001
|Commutative geometries are spin manifolds|
Rennie, Adam, Reviews in Mathematical Physics 13 (409–464) 2001
|Coupled Painlev systems and quartic potentials|
Hone, Andrew, Journal of Physics A: Mathematical and Theoretical (Print Edition) 34 (2235–2245) 2001
|Hilbert C*-systems for actions of the circle group|
Baumgaertel, H; Carey, Alan, Reports on Mathematical Physics 47 (349–361) 2001
|Integrated solutions of stochastic evolution equations with additive noise|
Filinkov, Alexei; Maizurna, Isna, Bulletin of the Australian Mathematical Society 64 (281–290) 2001
|Linearised cavity theory with smooth detachment|
Haese, Peter, Australian Mathematical Society Gazette 28 (187–193) 2001
|Non-Schlesinger deformations of ordinary differential equations with rational coefficients|
Kitaev, Alexandre, Journal of Physics A: Mathematical and Theoretical (Print Edition) 34 (2259–2272) 2001
|On a generalized 2 + 1 dispersive water wave hierarchy|
Gordoa, P; Joshi, Nalini; Pickering, A, Publications of the Research Institute for Mathematical Sciences 37 (327–347) 2001
|On the continuum limit of fermionic topological charge in lattice gauge theory|
Adams, David, Journal of Mathematical Physics 42 (5522–5533) 2001
|Poisson manifolds in generalised Hamiltonian biomechanics|
Ivancevic, V; Pearce, Charles, Bulletin of the Australian Mathematical Society 64 (515–526) 2001
|Regularizing the KdV equation near a blow-up surface|
Joshi, Nalini, Theoretical and Mathematical Physics 127 (744–750) 2001
|Statistical modelling and prediction associated with the HIV/AIDS epidemic|
Solomon, Patricia; Wilson, Susan, The Mathematical Scientist 26 (87–102) 2001
|The supercritical bore produced by a high-speed ship in a channel|
Gourlay, Timothy, Journal of Fluid Mechanics 434 (399–409) 2001
|Truncation-type methods and Bcklund transformations for ordinary differential equations: The third and fifth Painlev equations|
Gordoa, P; Joshi, Nalini; Pickering, A, Glasgow Mathematical Journal 43A (23–32) 2001
|Twisted index theory on good orbifolds, II: Fractional quantum numbers|
Marcolli, M; Varghese, Mathai, Communications in Mathematical Physics 217 (55–87) 2001
|Hadamard and Dragomir-Agarwal inequalities, higher-order convexity and the Euler formula|
Dedio, L; Pearce, Charles; Peoario, J, Journal of the Korean Mathematical Society (–) 2001
|Mathematical modelling of quorum sensing in bacteria|
Ward, J; King, J; Koerber, Adrian; Williams, P; Croft, J; Sockett, R, Mathematical Medicine and Biology (Print Edition) 18 (263–292) 2001
|More on the relative position of means I|
Pearce, Charles; Pecaric, Josip, Mathematical Gazette (112–114) 2001
|Some new inequalities for the logarithmic map, with applications entropy and mutual information|
Dragomir, S; Pearce, Charles; Pecaric, Josip, Kyungpook Mathematical Journal 41 (115–125) 2001
|A brief survey and synthesis of the roles of time in petri nets|
Bowden, Fred David John, Mathematical and Computer Modelling 31 (55–68) 2000
|A family of 2-dimensional laguerre planes of generalised shear type|
Polster, Burkhard; Steinke, G, Bulletin of the Australian Mathematical Society 61 (69–83) 2000
|A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary|
Carey, Alan; Mickelsson, J, Letters in Mathematical Physics 51 (145–160) 2000
|A new perspective on the normalization of invariant measures for loss networks and other product form systems|
Bean, Nigel; Stewart, Mark, Mathematical and Computer Modelling 31 (47–54) 2000
|A remark of Schwarz's topological field theory|
Adams, David; Prodanov, E, Letters in Mathematical Physics 51 (249–255) 2000
|Algorithms for second moments in batch-movement queueing systems|
Hunt, Emma, Mathematical and Computer Modelling 31 (299–305) 2000
|Bundle gerbes applied to quantum field theory|
Carey, Alan; Mickelsson, J; Murray, Michael, Reviews in Mathematical Physics 12 (65–90) 2000
|Bundle gerbes: stable isomorphism and local theory|
Murray, Michael; Stevenson, Daniel, Journal of the London Mathematical Society 62 (925–937) 2000
|CVBEM for a class of linear crack problems|
Ang, W; Clements, David; Dehghan, M, Mathematics and Mechanics of Solids 4 (369–391) 2000
Cho, Y; Dragomir, S; Kim, S-S; Pearce, Charles, Bulletin of the Australian Mathematical Society 62 (479–491) 2000
|Drawing with complex numbers|
Eastwood, Michael; Penrose, R, Mathematical Intelligencer 22 (8–13) 2000
|Extensional fall of a very viscous fluid drop|
Stokes, Yvonne; Tuck, Ernest; Schwartz, L, Quarterly Journal of Mechanics and Applied Mathematics 53 (565–582) 2000
|Flowing windowpanes: a comparison of Newtonian and Maxwell fluid models|
Stokes, Yvonne, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 456 (1861–1864) 2000
|Gauss-Plya type results and the Hlder Inequality|
Dragomir, S; Pearce, Charles; Sunde, J, Tamsui Oxford University Journal of Mathematical Sciences 16 (17–23) 2000
|Generalizations of some inequalities of Ostrowski-gruss type|
Pearce, Charles; Pecaric, Josip; Ujevic, N; Varosanec, S, Mathematical Inequalities & Applications 3 (25–34) 2000
|Maximal profit dimensioning and tariffing of loss networks with cross-connects|
Bean, Nigel; Brown, Deborah; Taylor, Peter, Mathematical and Computer Modelling 31 (21–30) 2000
|On the complete integrability of the discrete Nahm equations|
Murray, Michael; Singer, Michael, Communications in Mathematical Physics 210 (497–519) 2000
|Ovoids of PG(3, q), q even, with a conic section|
Brown, Matthew, Journal of the London Mathematical Society 62 (569–582) 2000
|Positive random variables and the A-G-H inequality|
Pearce, Charles, Australian Mathematical Society Gazette 27 (91–95) 2000
|Quasi-reversibility and networks of queues with nonstandard batch movements|
Taylor, Peter, Mathematical and Computer Modelling 31 (335–341) 2000
|The Andre/Bruck and Bose representation in PG(2h, q): unitals and Baer subplanes|
Barwick, Susan; Casse, Rey; Quinn, Catherine, Bulletin of the Belgian Mathematical Society-Simon Stevin 7 (173–197) 2000
|The Euler formulae and convex functions|
Dedic, L; Pearce, Charles; Pecaric, Josip, Mathematical Inequalities & Applications 3 (211–221) 2000
|The exact solution of the general stochastic rumour|
Pearce, Charles, Mathematical and Computer Modelling 31 (289–298) 2000
|The paradox of Parrondo's games|
Harmer, Gregory; Abbott, Derek; Taylor, Peter, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 456 (247–259) 2000
|When is a MAP poisson?|
Bean, Nigel; Green, David, Mathematical and Computer Modelling 31 (31–46) 2000
|m-systems of polar spaces and maximal arcs in projective planes|
Hamilton, N; Quinn, Catherine, Bulletin of the Belgian Mathematical Society-Simon Stevin 7 (237–248) 2000
|More on the pizza theorem|
Pearce, Charles, Australian Mathematical Society Gazette 27 (4–5) 2000
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