Stochastic Analysis with a View to Applications in Financial Risk Processes. Recent decades have seen explosive growth in applications of probability theory and statistics to the modelling of risk in finance and insurance. An intensive theoretical investigation into passage time and other problems for Levy and other continuous time processes will be applied to financial risk analyses. Related investigations will involve perpetuities and stochastic volatility models for price series. Outcomes ....Stochastic Analysis with a View to Applications in Financial Risk Processes. Recent decades have seen explosive growth in applications of probability theory and statistics to the modelling of risk in finance and insurance. An intensive theoretical investigation into passage time and other problems for Levy and other continuous time processes will be applied to financial risk analyses. Related investigations will involve perpetuities and stochastic volatility models for price series. Outcomes will include the development of new theory in probability and statistics, the initiation and reinforcement of collaborative ties with major international research figures, and the fostering of contacts with the finance industry.Read moreRead less
Dynamic CFD Simulations and Scale-Up of Three-Phase Slurry Reactors for Gas-to-Liquid (GTL) Technology. The gas-liquid-solid flow patterns in three-phase slurry bubble column reactors will be studied using experiments and CFD. The effect of various reactor parameters will be studied to develop the scale-up heuristic for the slurry bubble column reactor. The Findings of this study will be used to optimise the reactor system for the offshore natural gas locations of Australia. A successful impleme ....Dynamic CFD Simulations and Scale-Up of Three-Phase Slurry Reactors for Gas-to-Liquid (GTL) Technology. The gas-liquid-solid flow patterns in three-phase slurry bubble column reactors will be studied using experiments and CFD. The effect of various reactor parameters will be studied to develop the scale-up heuristic for the slurry bubble column reactor. The Findings of this study will be used to optimise the reactor system for the offshore natural gas locations of Australia. A successful implementation of this project will bring a huge economic benefit to Australia by utilising the vast amount of remotely located and otherwise unusable stranded natural gas reserves. The project falls within one of National Research Priorities: An Environmentally Sustainable Australia.Read moreRead less
Improving risk management based on short-term stochastic forecast for financial decisions. The project targets the problems of strategy selection in the framework of mathematical finance. The aim is to find ways to reduce the impact of forecast errors in the presence of uncertainty. Related forecasting algorithms and solutions of optimization problems will be obtained.
Multi-object Estimation for Live-Cell Microscopy. The objective of this project is to develop new tools for the inference of biological information from live-cell data to facilitate analysis of experiments and speed up discovery in cell biology. The new tools would provide reliable, consistent inference requiring no manual intervention and able to process large volumes of data in a timely manner. This would equip biologists with a vehicle that could move them closer to the goal of understanding ....Multi-object Estimation for Live-Cell Microscopy. The objective of this project is to develop new tools for the inference of biological information from live-cell data to facilitate analysis of experiments and speed up discovery in cell biology. The new tools would provide reliable, consistent inference requiring no manual intervention and able to process large volumes of data in a timely manner. This would equip biologists with a vehicle that could move them closer to the goal of understanding the mechanism behind biological processes.Read moreRead less
Statistical methodology for events on a network, with application to road safety. This project develops new methods to analyse road traffic accident rates, aiming to identify accident black spots and to develop an evidence base for future road design and road safety management. These methods can be applied to other types of events on a network of roads, railways, rivers, electrical wires, communication networks or airline routes.
The stability of unsteady fluid flows in channels and pipes. The main benefit from this project will be a better theoretical understanding of the stability properties of unsteady fluid flows. The theoretical results obtained would help guide future experimental
investigations into the paths to turbulence in unsteady flows and would be a basis for future research in the increasingly important area of flow stability control. The project will also provide advanced training and skills transfer in a ....The stability of unsteady fluid flows in channels and pipes. The main benefit from this project will be a better theoretical understanding of the stability properties of unsteady fluid flows. The theoretical results obtained would help guide future experimental
investigations into the paths to turbulence in unsteady flows and would be a basis for future research in the increasingly important area of flow stability control. The project will also provide advanced training and skills transfer in an important area of fluid mechanics research.
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Quantum and Geometric Aspects of Gauge Theories, Supergravity and String Theory. A central problem of modern high-energy physics is the unification of gravity with the other fundamental interactions that is consistent at the quantum level. Led by a team of internationally recognized experts, this project will yield breakthroughs in supergravity and string theory - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, ....Quantum and Geometric Aspects of Gauge Theories, Supergravity and String Theory. A central problem of modern high-energy physics is the unification of gravity with the other fundamental interactions that is consistent at the quantum level. Led by a team of internationally recognized experts, this project will yield breakthroughs in supergravity and string theory - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, a fertile environment will be provided for the training of graduate students. They will be ideally placed to lead Australia's involvement in the revolution sparked by the expected experimental confirmation of supersymmetry with the Large Hadron Collider. Read moreRead less
Progress in Supersymmetry and Supergravity: Continuing Einstein's Legacy. 2005 is the International Year of Physics in recognition of Einstein's revolutionary contributions. His unfinished quest for a unified description of Nature has become the hottest topic in modern physics. Led by a team of internationally recognized experts, this project will yield breakthroughs in supersymmetry and supergravity - crucial ingredients of current approaches to unification. As well as putting Australia at the ....Progress in Supersymmetry and Supergravity: Continuing Einstein's Legacy. 2005 is the International Year of Physics in recognition of Einstein's revolutionary contributions. His unfinished quest for a unified description of Nature has become the hottest topic in modern physics. Led by a team of internationally recognized experts, this project will yield breakthroughs in supersymmetry and supergravity - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, a fertile environment will be provided for the training of graduate students. They will be ideally placed to lead Australia's involvement in the revolution sparked by the expected experimental confirmation of supersymmetry with the next generation of particle accelerators.Read moreRead less
Low Energy Effective Actions in Supersymmetric Gauge Theories. The quest for a unified quantum theory of all the fundamental interactions of Nature, including gravity, is a major goal of modern physics. Superstring theory is at present the only plausible candidate. This theory makes nontrivial predictions (non-renormalization theorems) about the low energy structure of certain supersymmetric gauge theories (the Standard Model of particle physics is a special gauge theory). This project will deve ....Low Energy Effective Actions in Supersymmetric Gauge Theories. The quest for a unified quantum theory of all the fundamental interactions of Nature, including gravity, is a major goal of modern physics. Superstring theory is at present the only plausible candidate. This theory makes nontrivial predictions (non-renormalization theorems) about the low energy structure of certain supersymmetric gauge theories (the Standard Model of particle physics is a special gauge theory). This project will develop new tools for the computation of low energy effective actions, which will then be used for a detailed analysis of the non-renormalization theorems governing the low energy dynamics of supersymmetric gauge theories. This research is at the forefront of modern particle physics.Read moreRead less
Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication i ....Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication industries. In addition to efficient solution methods
for these problems the project will produce computational tools for
a wide range of related network routing problems.Read moreRead less