Linear programming approach to nonlinear deterministic and stochastic control problems: perturbations methods and numerical analysis. The proposed research will significantly advance knowledge by creating new analytical and numerical methods for tackling complex nonlinear control problems arising in many applications. The study's outputs will lead to a deeper understanding of fundamental issues in mathematical modelling. Collaboration with renowned researchers will further improve Australia's st ....Linear programming approach to nonlinear deterministic and stochastic control problems: perturbations methods and numerical analysis. The proposed research will significantly advance knowledge by creating new analytical and numerical methods for tackling complex nonlinear control problems arising in many applications. The study's outputs will lead to a deeper understanding of fundamental issues in mathematical modelling. Collaboration with renowned researchers will further improve Australia's standing in the international research community. Also their visits may further promote research both within and outside the host institution. In particular, lectures and seminars that they will deliver will be transmitted to Australian universities participating in the Access Grid Room Project.Read moreRead less
The prediction of sleep/wake behaviour based on physiological and social factors. The prevalence of shiftwork has increased in Australia over the last few decades. Shiftworkers obtain less sleep, have greater difficulty maintaining good relationships, have poorer health, and are more likely to be injured at work than others. Using the largest dataset of its kind, we will substantially contribute to understanding the relationships between work hours, sleep, performance and safety. Ultimately, the ....The prediction of sleep/wake behaviour based on physiological and social factors. The prevalence of shiftwork has increased in Australia over the last few decades. Shiftworkers obtain less sleep, have greater difficulty maintaining good relationships, have poorer health, and are more likely to be injured at work than others. Using the largest dataset of its kind, we will substantially contribute to understanding the relationships between work hours, sleep, performance and safety. Ultimately, the project will answer a question critical to workplace safety - how much time off between shifts is needed to be alert and safe at work? The project will also produce tools to help industry design fatigue-friendly rosters, improving the safety, productivity and general well-being of shiftworkers in Australia and overseas.Read moreRead less
Strong Interaction Physics from Lattice QCD. This project will significantly advance our knowledge of the subatomic structure of the universe. It will maintain excellence and strength in an area where Australia has built an outstanding international reputation over the past decade. It will place Australia at the cutting edge of fundamental and computational science research and it will maintain and grow strong international links. It will produce Australian graduates and research associates of h ....Strong Interaction Physics from Lattice QCD. This project will significantly advance our knowledge of the subatomic structure of the universe. It will maintain excellence and strength in an area where Australia has built an outstanding international reputation over the past decade. It will place Australia at the cutting edge of fundamental and computational science research and it will maintain and grow strong international links. It will produce Australian graduates and research associates of high quality, who will benefit from participating in these state-of-the-art studies and from the advanced training in modeling, high-performance computer simulation and visualisation. This training will have major economic benefits for and provide strong links to Australian industry.Read moreRead less
Advanced studies of QCD and the strong interaction. This project will significantly advance our knowledge of the subatomic structure of the universe. It will maintain excellence and strength in an area where Australia has built an outstanding international reputation over the past decade. It will place Australia at the cutting edge of fundamental and computational science research and it will maintain and grow strong international links. It will produce Australian graduates and research associa ....Advanced studies of QCD and the strong interaction. This project will significantly advance our knowledge of the subatomic structure of the universe. It will maintain excellence and strength in an area where Australia has built an outstanding international reputation over the past decade. It will place Australia at the cutting edge of fundamental and computational science research and it will maintain and grow strong international links. It will produce Australian graduates and research associates of high quality, who will benefit from participating in these state-of-the-art studies and from the advanced training in modelling, high-performance computer simulation and visualisation. This training will have major economic benefits for and provide strong links to Australian industry.Read moreRead less
Advanced Studies of Non-Perturbative Quantum Electrodynamics (QED) and Relation to the Standard Model. The project is a high-precision study of nonperturbative quantum electrodynamics (QED). It will finally allow a detailed look into the inner workings of the "best theory we have". It will provide valuable guidance in understanding and constructing the "holy grail" of theoretical physics the so-called "theory of everything". It will place Australia at the cutting edge of fundamental theoretical ....Advanced Studies of Non-Perturbative Quantum Electrodynamics (QED) and Relation to the Standard Model. The project is a high-precision study of nonperturbative quantum electrodynamics (QED). It will finally allow a detailed look into the inner workings of the "best theory we have". It will provide valuable guidance in understanding and constructing the "holy grail" of theoretical physics the so-called "theory of everything". It will place Australia at the cutting edge of fundamental theoretical research. Australian graduate and undergraduate students will benefit from participating in this work and the state-of-the-art expertise that they will develop has a clear social and economic benefit for Australia.Read moreRead less
Advances in Nonperturbative Studies of Subatomic Physics. Fundamental research into physics always leads to unpredictable technological breakthroughs. Fundamental physics research has led to the development of transistors, world wide web, carbon dating, cancer treatments, Magnetic Resonance Imaging (MRI) scans, satellites and many applications too numerous to mention. The collaboration will allow Australia access to technologies, research infrastructure, expertise and intellectual knowledge that ....Advances in Nonperturbative Studies of Subatomic Physics. Fundamental research into physics always leads to unpredictable technological breakthroughs. Fundamental physics research has led to the development of transistors, world wide web, carbon dating, cancer treatments, Magnetic Resonance Imaging (MRI) scans, satellites and many applications too numerous to mention. The collaboration will allow Australia access to technologies, research infrastructure, expertise and intellectual knowledge that wouldn't be available otherwise. This will enable Australian institutions to pursue breakthrough science, to develop frontier technologies and to have a great impact in the international scientific community. It will also provide advance training in simulation and high-performance computing to postgraduates and research associates.Read moreRead less
Studies of nonperturbative quantum electrodynamics. In order to test fundamental quantum field theories, which underlie all physical phenomena from galaxy formation to the behaviour of biological system, it is necessary to be able to solve these theories in all regions of interest. In particular, solving theories in the nonperturbative regime has proven a difficult and challenging problem. The most successful theory that we have in physics is perturbative quantum electrodynamics, even though in ....Studies of nonperturbative quantum electrodynamics. In order to test fundamental quantum field theories, which underlie all physical phenomena from galaxy formation to the behaviour of biological system, it is necessary to be able to solve these theories in all regions of interest. In particular, solving theories in the nonperturbative regime has proven a difficult and challenging problem. The most successful theory that we have in physics is perturbative quantum electrodynamics, even though in the nonperturbative regime it is widely believed to be a trivial or pathological theory. We will build on exciting recent successes in this field and use advanced supercomputers to understand the detailed nonperturbative behaviour of quantum electrodynamics.Read moreRead less
Normal forms and Chern-Moser connection in the study of Cauchy-Riemann Manifolds. This research project is aimed at a systematic study of Cauchy-Riemann manifolds, their holomorphic mappings and automorphisms, by means of a unifying approach based on
Chern-Moser type normal forms. The importance of Cauchy-Riemann manifolds stems from the fact that they bridge complex structure and holomorphy with the Riemannian nature of real manifolds. Construction of an analogue of the Chern-Moser normal form ....Normal forms and Chern-Moser connection in the study of Cauchy-Riemann Manifolds. This research project is aimed at a systematic study of Cauchy-Riemann manifolds, their holomorphic mappings and automorphisms, by means of a unifying approach based on
Chern-Moser type normal forms. The importance of Cauchy-Riemann manifolds stems from the fact that they bridge complex structure and holomorphy with the Riemannian nature of real manifolds. Construction of an analogue of the Chern-Moser normal form for multicodimensional Levi-nondegenerate CR-manifolds and extension of CR-mappings between them are major goals in complex analysis. Identification of Chern-Moser chains and equivariant linearisation of isotropy automorphisms are major goals in geometry.Read moreRead less