Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
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Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.
Improving Care Of The Dying With Chronic Heart Failure
Funder
National Health and Medical Research Council
Funding Amount
$130,000.00
Summary
Chronic heart failure is increasing in prevalence and is primarily a condition of ageing. Although chronic heart failure has worse outcomes than many cancers, patients are often denied the benefits of palliative care with its emphasis on symptom management, spirituality, emotional health and focus on family issues. This project seeks to assess the state of knowledge in Australia related to palliative care in chronic heart failure. Guidelines and care maps appropriate to Australian conditions wil ....Chronic heart failure is increasing in prevalence and is primarily a condition of ageing. Although chronic heart failure has worse outcomes than many cancers, patients are often denied the benefits of palliative care with its emphasis on symptom management, spirituality, emotional health and focus on family issues. This project seeks to assess the state of knowledge in Australia related to palliative care in chronic heart failure. Guidelines and care maps appropriate to Australian conditions will be developed and their usefulness assessed in improving care of patients and their families.Read moreRead less
Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be ....Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be developed during the project can be turned into IP for Australia. This will contribute to catalysing development of internationally competitive financial risk management software industry.Read moreRead less
Three-dimensional magnetotelluric imaging of lithospheric-scale mineral systems from source to deposit. Geochemical studies indicate that world-class mineral deposits are partly sourced from fluids emerging from Earth's mantle and lower crust. Finding major mineral deposits in the future will therefore require knowledge of which parts of the crust and mantle yield the most prospective locations. However, there are few methods that can image deep Earth resources, and these can be very expensive ....Three-dimensional magnetotelluric imaging of lithospheric-scale mineral systems from source to deposit. Geochemical studies indicate that world-class mineral deposits are partly sourced from fluids emerging from Earth's mantle and lower crust. Finding major mineral deposits in the future will therefore require knowledge of which parts of the crust and mantle yield the most prospective locations. However, there are few methods that can image deep Earth resources, and these can be very expensive. We propose to develop the magnetotelluric method as a low-cost and rapid approach for delineating 3D information on deep mineral systems beneath existing major deposits, and adapting this to explore in greenfield locations.Read moreRead less
Predicting Renal, Ophthalmic And Heart Events In The Aboriginal Community: The PROPHECY Diabetes Multi-Omics Cohort Study
Funder
National Health and Medical Research Council
Funding Amount
$3,955,505.00
Summary
Diabetes is at epidemic levels in Indigenous Australians, impairing quality of life, and contributing to poor health. This is a result of rapid development of kidney, heart and eye complications. We have established a large long-term population study among Aboriginal communities within South Australia and will explore the burden, natural history and the social, psychological, environmental, clinical and genomic predictors of diabetes and its complications.
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0668155
Funder
Australian Research Council
Funding Amount
$350,000.00
Summary
Instrumentation for combined seismic and electromagnetic Earth sounding. The set of geophysical recorders will provide the means to enhance understanding of the structure of the Australian continent in 3-D. The interpretation of multiple images of Earth structure will help to link features in the crust and mantle beneath, and provide controls on the evolution and assembly of the present continent, with a major contribution to possible geotransects as recommended in the 2003 National Strategic Pl ....Instrumentation for combined seismic and electromagnetic Earth sounding. The set of geophysical recorders will provide the means to enhance understanding of the structure of the Australian continent in 3-D. The interpretation of multiple images of Earth structure will help to link features in the crust and mantle beneath, and provide controls on the evolution and assembly of the present continent, with a major contribution to possible geotransects as recommended in the 2003 National Strategic Plan for the Geosciences. Combining seismic and electromagnetic methods will provide both geochemeical and geophysical constaints, e.g., on zones of alteration and shear with the potential for deep mineralisation. Read moreRead less
Targeting RCAN1 To Treat Type 2 Diabetes And Obesity
Funder
National Health and Medical Research Council
Funding Amount
$814,468.00
Summary
Obesity and impaired insulin secretion are significant contributors to Type 2 diabetes. In this project we demonstrate that a protein called RCAN1 contributes to both fat mass and insulin secretion and that this contribution is exacerbated in obesity and in Type 2 diabetes. We will identify how RCAN1 controls these major metabolic pathways with outcomes including the development of new therapeutics for obesity and Type 2 diabetes.
Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate eco ....Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate economic and climate forecasts. The tools produced will provide Australia's scientists and policy-makers with a greater capacity to manage the risks associated with these challenges. A side-benefit of the research will be high-quality publications that enhance the nation's reputation in this cutting edge research.Read moreRead less