Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for ....Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for example, environment risk, climate change, and energy and security problems.Read moreRead less
Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.Read moreRead less
Design of Tough, Durable and Corrosion-resistant Coatings. Coatings are frequently applied to components operating in harsh environments to enhance durability. Often such coatings exhibit low toughness and poor corrosion resistance that leads to premature failure. The aim of this project is to design, characterise and test innovative coatings that exhibit unique architectures based on natural materials such as teeth and nacre. It is envisaged that these coatings will be hard, tough and durable i ....Design of Tough, Durable and Corrosion-resistant Coatings. Coatings are frequently applied to components operating in harsh environments to enhance durability. Often such coatings exhibit low toughness and poor corrosion resistance that leads to premature failure. The aim of this project is to design, characterise and test innovative coatings that exhibit unique architectures based on natural materials such as teeth and nacre. It is envisaged that these coatings will be hard, tough and durable in hostile, corrosive environments, and will thus, transform industries such as manufacturing, mining and offshore oil exploration as well as enhance the lifetime of prosthetic devices.Read moreRead less
Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the ....Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the outstanding performance of our Snakes-and-Ladders Heuristic (SLH) for the solution of the Hamiltonian cycle problem to identify its "fixed complexity orbits" and generalise this notion to other NP-complete problems.Read moreRead less
Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and ....Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and the economy. This project expects to bring about long-term impact on quantitative finance and related applications through providing a deep understanding of, and a new perspective for, the design, risk and fairness of the finance, property and insurance markets.Read moreRead less
G-expectation and its applications to nonlinear risk management. This project will develop novel theories and methods for nonlinear risk management based on nonlinear expectations and Backward Stochastic Differential Equations. The expected outcomes of the project will place Australia in the forefront and the leading position of these fields.
Design and Fabrication of 2D Hybrid Materials. There are >300 2D materials like graphene with potentially exotic and useful electrooptic and superconductor properties that will drive novel industrial applications. This project aims to use advanced computational and experimental techniques to discover and fabricate new 2D hybrid materials built from different layers of 2D materials. This approach is essential as the number of possible hybrids is huge (millions) and current processes to identify a ....Design and Fabrication of 2D Hybrid Materials. There are >300 2D materials like graphene with potentially exotic and useful electrooptic and superconductor properties that will drive novel industrial applications. This project aims to use advanced computational and experimental techniques to discover and fabricate new 2D hybrid materials built from different layers of 2D materials. This approach is essential as the number of possible hybrids is huge (millions) and current processes to identify and build 2D hybrids are technically challenging and slow. Expected outcomes include defining a new paradigm for efficient identification and synthesis of 2D hybrids with exotic, bespoke properties. The generation of a large database of materials for researchers/industry would be of wide benefit.Read moreRead less
Designing and Building Novel 2D Hybrid Materials. The aim of this project is to use computational and experimental techniques to discover and fabricate new hybrid materials. Single-layer (2-D) materials like graphene have gained prominence and new ones are constantly being reported. Hybrid materials built from combinations of 2-D layers are appearing but progress is slow. This project is designed to increase the rate of discovery and fabrication of hybrids. The outcome would be an extensive data ....Designing and Building Novel 2D Hybrid Materials. The aim of this project is to use computational and experimental techniques to discover and fabricate new hybrid materials. Single-layer (2-D) materials like graphene have gained prominence and new ones are constantly being reported. Hybrid materials built from combinations of 2-D layers are appearing but progress is slow. This project is designed to increase the rate of discovery and fabrication of hybrids. The outcome would be an extensive database of materials properties, clear direction on how to control material properties, and manufacturing protocols to build a wide range of new materials.Read moreRead less
Robust streamflow predictions by improving the identification of hydrological model structure. This project aims to provide Australian environmental agencies, design engineers and policy-makers with robust methods that better utilise observed environmental data and process understanding to produce hydrological models with stronger scientific basis and improved operational predictive ability in gauged and ungauged catchments.