Building Australia's next-generation ocean-sea ice model. Ocean and sea ice models are used for predicting future ocean and climate states, and for climate process research. This project aims to bring the next generation of ocean-sea ice models to Australia and configure the models for our local priorities. The ultimate goal is to create a new coupled ocean-sea ice model for Australia that includes surface waves and biogeochemistry. The model will be optimised and evaluated on Australian facilit ....Building Australia's next-generation ocean-sea ice model. Ocean and sea ice models are used for predicting future ocean and climate states, and for climate process research. This project aims to bring the next generation of ocean-sea ice models to Australia and configure the models for our local priorities. The ultimate goal is to create a new coupled ocean-sea ice model for Australia that includes surface waves and biogeochemistry. The model will be optimised and evaluated on Australian facilities, and released for community use. These developments underpin future ocean state forecasts, sea ice forecasts, wave forecasts, decadal climate prediction and climate process studies. The project will benefit search and rescue, Defence and shipping operations, and will enhance future climate projections.Read moreRead less
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
Construction of near optimal oscillatory regimes in singularly perturbed control systems via solutions of Hamilton-Jacobi-Bellman inequalities. Problems of optimal control of systems evolving in multiple time scales arise in a great variety of applications (from diet to environmental modelling). This project addresses the challenge of analytically and numerically constructing rapidly oscillating controls that would 'near optimally coordinate' the slow and fast dynamics.
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.
Enhanced Humans, Robotics and the Future of Work. The aim of the project is to generate new and powerful understandings of the social consequences of robotics and artificial intelligence. The project aims to develop an understanding of technologically-mediated mobility processes and test their capacity to address such issues as social futures and the sorts of digital skills that Australians will require for future jobs. It plans to use social theory to explore technological scenarios and hypothe ....Enhanced Humans, Robotics and the Future of Work. The aim of the project is to generate new and powerful understandings of the social consequences of robotics and artificial intelligence. The project aims to develop an understanding of technologically-mediated mobility processes and test their capacity to address such issues as social futures and the sorts of digital skills that Australians will require for future jobs. It plans to use social theory to explore technological scenarios and hypotheses concerning possible societal futures in Australia and beyond. Project outcomes may inform social science and contribute to worldwide efforts to solve global policy problems from work and unemployment to lifestyle change.Read moreRead less
Putting death in its place. The project aims to link 890,000 population records to place of residence from 1838 to 1930, to examine the relationships between where people live, mortality, life expectancy and health. Where people live impacts their life-course outcomes. Using novel matching techniques, the project expects to identify intergenerational changes and the spatial dynamics of inequality and social mobility. Expected outcomes include the creation of a public resource of linked data and ....Putting death in its place. The project aims to link 890,000 population records to place of residence from 1838 to 1930, to examine the relationships between where people live, mortality, life expectancy and health. Where people live impacts their life-course outcomes. Using novel matching techniques, the project expects to identify intergenerational changes and the spatial dynamics of inequality and social mobility. Expected outcomes include the creation of a public resource of linked data and a better understanding of long-run health and inequality. These should provide economic and social benefits by informing policy aimed at contemporary social and health challenges, enhancing our understanding of Australian history, and developing public resources.Read moreRead less
Campus: Building Modern Australian Universities. This project plans to examine the post-World War Two evolution of the Australian university campus. Modern campuses created opportunities for the realisation of innovative solutions in urban planning, architecture and landscape. The project plans to reveal the physical impacts of political, institutional, social and cultural demands through comparative thematic investigation, digital visualisation and detailed case studies. Foregrounding landscape ....Campus: Building Modern Australian Universities. This project plans to examine the post-World War Two evolution of the Australian university campus. Modern campuses created opportunities for the realisation of innovative solutions in urban planning, architecture and landscape. The project plans to reveal the physical impacts of political, institutional, social and cultural demands through comparative thematic investigation, digital visualisation and detailed case studies. Foregrounding landscape and site, the project aims to establish new historical knowledge, identify campuses as catalysts for urban thinking, and demonstrate strategies for their conservation and adaptation to meet future needs in the tertiary sector.Read moreRead less
Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using pow ....Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using powerful geometric tools from conformal geometry, the project will extend this to less symmetric spaces. The knowledge generated from this project will extend to more general geometric contexts providing a concrete setting for the study of the associated natural equations in curved spaces.Read moreRead less