Advanced matrix-analytic methods with applications. Over the last twenty-five years, matrix-analytic methods have proved to be very successful in formulating and analysing certain classes of stochastic models. Motivated by applications, this project will investigate more advanced matrix-analytic methods than have hitherto been studied.
Change Detection in Causal Relationships and Measurement of Systemic Risk. Empirical measures of interconnectedness between financial institutions based on tests of Granger causality are currently used in detecting systemic risk. However, researchers need to define periods of calm and stress exogenously in order to implement these tests appropriately. This project aims to develop a new procedure to identify changes in causal relationships and the timing of these changes. The new approach has the ....Change Detection in Causal Relationships and Measurement of Systemic Risk. Empirical measures of interconnectedness between financial institutions based on tests of Granger causality are currently used in detecting systemic risk. However, researchers need to define periods of calm and stress exogenously in order to implement these tests appropriately. This project aims to develop a new procedure to identify changes in causal relationships and the timing of these changes. The new approach has the potential to be a significant improvement in the real-time identification of emerging turmoil in financial markets and provide an improved method for the detection of systemic risk. The new test procedure will be implemented using data for financial and non-financial institutions across Europe, the US and Australia.Read moreRead less
Optimising Control of Hydroelectric Turbines Subject to Basslink Instability. With the introduction of Basslink, an underwater DC power cable across the Bass Strait, Tasmania will be connected to the national Electricity Market. Basslink will also provide an opportunity to utilise the significant water energy potential found throughout Tasmania. This project will examine the impact and disturbances due to the connection of Basslink with Tasmanian hydro power systems and develop control strategi ....Optimising Control of Hydroelectric Turbines Subject to Basslink Instability. With the introduction of Basslink, an underwater DC power cable across the Bass Strait, Tasmania will be connected to the national Electricity Market. Basslink will also provide an opportunity to utilise the significant water energy potential found throughout Tasmania. This project will examine the impact and disturbances due to the connection of Basslink with Tasmanian hydro power systems and develop control strategies for effective operation and control of hydro turbines with Basslink. Particular attention will be paid to the quality and reliability of electricity supply in Tasmania.Read moreRead less
Viscous Effects in Free-Surface Flows. Australia has a proud record of achievement in the field of free-surface fluid mechanics. This project will build and extend these research achievements. It will provide new information about how fluid layers overturn and mix, which is an important process in oceanography. It will examine the sloshing behaviour of fluid in moving storage tanks, which is important in fuel transport and building design. The project will develop new mathematical methods fo ....Viscous Effects in Free-Surface Flows. Australia has a proud record of achievement in the field of free-surface fluid mechanics. This project will build and extend these research achievements. It will provide new information about how fluid layers overturn and mix, which is an important process in oceanography. It will examine the sloshing behaviour of fluid in moving storage tanks, which is important in fuel transport and building design. The project will develop new mathematical methods for solving these problems accurately, and will contribute to the next generation of research mathematicians in Australia. Read moreRead less
Detecting financial contagion using high frequency data. Financial crises spread extraordinarily quickly. However, existing tools for measuring this spread use relatively low frequency data. This project develops tools for measuring and detecting periods of stress and the effects of financial contagion in financial markets, using high frequency data based on recorded transaction prices.
Modelling Decision Making Within the Household and Analysing its Welfare Implications:Methodological Advances with Policy Applications. The project examines the behavioural and welfare implications of alternative models of intra household decisions. A framework that integrates the household's earnings and expenditure decisions will be proposed and applied. The project introduces new measures of spousal power in making decisions and examines its impact on household outcomes. A satisfactory eco ....Modelling Decision Making Within the Household and Analysing its Welfare Implications:Methodological Advances with Policy Applications. The project examines the behavioural and welfare implications of alternative models of intra household decisions. A framework that integrates the household's earnings and expenditure decisions will be proposed and applied. The project introduces new measures of spousal power in making decisions and examines its impact on household outcomes. A satisfactory econometric methodology to test the conventional unitary model will be developed and applied. The usefulness of this research is underlined by examining the policy implications in areas that range from taxation in the developed country context to child health, child labour and gender bias in case of developing countries.Read moreRead less
An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will r ....An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will rectify this situation by using representation theory to transform combinatorial group theory into linear algebra, allowing for the application of advanced methods of numeric approximation. This will provide a better understanding of how bacteria evolve and improve our ability to manage their impact.Read moreRead less
Mapping the effect of social enterprise on regional city disadvantage. This project aims to explore how social enterprises affect wellbeing and community capacity in disadvantaged areas of regional cities. Governments increasingly invest in social enterprise to benefit individuals and places. This project will use a spatial methodology to map where and how benefits are realised. To date, robust evidence about how social enterprise affects disadvantage is lacking, partly due to inadequate researc ....Mapping the effect of social enterprise on regional city disadvantage. This project aims to explore how social enterprises affect wellbeing and community capacity in disadvantaged areas of regional cities. Governments increasingly invest in social enterprise to benefit individuals and places. This project will use a spatial methodology to map where and how benefits are realised. To date, robust evidence about how social enterprise affects disadvantage is lacking, partly due to inadequate research methodology. This project expects to provide web-based design tools and applications to assist regional city communities and councils in the development of social enterprises that can help disadvantaged people and places.Read moreRead less
Choice models for learning and memory. Life is filled with familiar choices that often require quick decisions about objects in the environment and the contents of memory. This project examines how we learn to make rapid and accurate choices and how we quickly asses the level of confidence we have in recognition decisions based on our memories.
The role of leaf veins in vascular plant evolution. Leaves are continuously irrigated by a system of internal plumbing that defines their maximum photosynthetic output, and angiosperms are the most productive plants on earth largely by virtue of a uniquely efficient system of leaf plumbing. This project will identify how such an important modification of leaf water transport came to evolve.