High dimensional problems of integration and approximation. In many applications, notably financial mathematics, problems of
integration and approximation of functions in very high dimensions
are of great interest. By finding modern mathematical solutions to
these problems, we will therefore contribute to Australia's future
success in developing innovative technologies for industrial and
economic applications. By researching at an internationally
competitive level and by cooperating with i ....High dimensional problems of integration and approximation. In many applications, notably financial mathematics, problems of
integration and approximation of functions in very high dimensions
are of great interest. By finding modern mathematical solutions to
these problems, we will therefore contribute to Australia's future
success in developing innovative technologies for industrial and
economic applications. By researching at an internationally
competitive level and by cooperating with international experts, we
will have a share in further strengthening the excellent role of
Australian research institutions within the international scientific
community in mathematics and scientific computing.Read moreRead less
Centre Of Research Excellence On Social Determinants Of Health Equity (CRESDHE): Policy Research On The Social Determinants Of Health Equity
Funder
National Health and Medical Research Council
Funding Amount
$2,585,039.00
Summary
This research will investigate and develop methods to assess how Australian governments’ policy actions across a range of areas interact to affect health and its distribution among different social groups. It will provide evidence on how political and policy processes could function more effectively to improve health and its distribution in Australia. It will have a particular focus on ways to improve health for Indigenous Australians.
Risk management and funding structures: an econometric panel data analysis of health insurance in Australia. This research analyses how subsidies to Australian health insurance, both public and private, vary by income, risk of loss, age and region. It will provide the necessary information to guide future health funding by analysing the equity and efficiency of existing subsidies and alternative subsidies related to individuals' risk of high health costs.
Visual interaction methods for clustered graphs. This project aims to improve human understanding of huge network data sets, such as those arising in social networks, biological networks, and very large software structures. The project will enable analysts to explore and interact with such data sets, leading to better understanding.
Compilation Techniques for Embedded Systems. Highly optimising compiler tools are becoming an important part of the software development process for embedded systems. This project will provide Australia with core technology in the area of tools for embedded systems. It will allow safer embedded systems in mission-critical applications. In addition, the Australian Industry will benefit from a substantially growing embedded systems market where tools are a pre-requisite for a cost-aware and safe s ....Compilation Techniques for Embedded Systems. Highly optimising compiler tools are becoming an important part of the software development process for embedded systems. This project will provide Australia with core technology in the area of tools for embedded systems. It will allow safer embedded systems in mission-critical applications. In addition, the Australian Industry will benefit from a substantially growing embedded systems market where tools are a pre-requisite for a cost-aware and safe software development. The industry interested in embedded system tools are: Telecom/Datacom, Consumer Electronics, Industrial Automation, Retail Automation, Office Automation, Military/Aerospace, Automotive, Information Automation, Medical Devices.Read moreRead less
Robust Empirical Analysis of Poverty and Inequality in Australia. The project aims to improve our understanding of economic poverty and inequality in Australia, and contribute new method to the field of distributional analysis. The empirical analysis of consumption poverty and inequality will highlight the critical methodological assumptions underlying our perceptions of poverty, and provide an evaluation of the effectiveness of a range of programs targeted to the poor. The analysis of economic ....Robust Empirical Analysis of Poverty and Inequality in Australia. The project aims to improve our understanding of economic poverty and inequality in Australia, and contribute new method to the field of distributional analysis. The empirical analysis of consumption poverty and inequality will highlight the critical methodological assumptions underlying our perceptions of poverty, and provide an evaluation of the effectiveness of a range of programs targeted to the poor. The analysis of economic inequality in Australia will determine if recent trends are due to increasing globalisation, and whether national programs were effective in ameliorating international influences. This research will ultimately contribute to more effective poverty alleviation and income support programs.Read moreRead less
Multivariate Algorithmics: Meeting the Challenge of Real World computational complexity. This Project will result in better methods for designing the algorithms that all computer applications depend on. Algorithms are the instruction sets that tell computers how to process information. Some information processing tasks are intrinsically difficult, even for computers working at enormous speeds. This Project will deliver new mathematical approaches to overcome these difficulties. More efficient al ....Multivariate Algorithmics: Meeting the Challenge of Real World computational complexity. This Project will result in better methods for designing the algorithms that all computer applications depend on. Algorithms are the instruction sets that tell computers how to process information. Some information processing tasks are intrinsically difficult, even for computers working at enormous speeds. This Project will deliver new mathematical approaches to overcome these difficulties. More efficient algorithmic approaches for difficult problems enable advances in all areas of computer applications such as medical diagnosis and health prediction, national security, communications efficiency, industrial productivity and all fields of science and engineering.Read moreRead less
Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and fro ....Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and from smooth actions of Lie groups on manifolds, where powerful geometric methods are available. The project will yield new understandings of entropy, and new approaches to Fourier analysis.Read moreRead less
Ergodic theory and number theory. Recent advances in the theory of measured dynamical systems investigated by the proponents include new versions of entropy, and the study of spectral theory for non-singular systems. These will be further developed in this joint project with the French CNRS. The results are expected to have interesting applications in physics and number theory.
Entropy and maximal entropy in Markov systems. Entropy is a measure of how well-ordered a system is: chaotic systems have high entropy. Two approaches to entropy are available, via the limiting behaviour of the orbits of points, which yields topological entropy, and via the behaviour of the distributions of measures of partitions, yielding measure-theoretic entropy. The topological entropy is the least upper bound of entropies of all possible measures. We study when there is a measure which real ....Entropy and maximal entropy in Markov systems. Entropy is a measure of how well-ordered a system is: chaotic systems have high entropy. Two approaches to entropy are available, via the limiting behaviour of the orbits of points, which yields topological entropy, and via the behaviour of the distributions of measures of partitions, yielding measure-theoretic entropy. The topological entropy is the least upper bound of entropies of all possible measures. We study when there is a measure which realises this bound, describing the structure of such systems via Markov and Bratteli diagrams. Our methods will be applied to new versions of entropy for non-singular systems. This will assist in the description of chaotic behaviour.Read moreRead less