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
Quantum Information and Entanglement: a new framework for Science and Technology with quantum many-body systems. The expected outcome of the research program is a significant boost in the understanding of quantum many-body systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By developing both the underpinning theory and innovative computational tools, and by applying them to problems of recognised impor ....Quantum Information and Entanglement: a new framework for Science and Technology with quantum many-body systems. The expected outcome of the research program is a significant boost in the understanding of quantum many-body systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By developing both the underpinning theory and innovative computational tools, and by applying them to problems of recognised importance, this program will have direct implications in areas of condensed matter physics, quantum statistical mechanics, particle physics, complex systems, quantum information science and technology, quantum computation, engineered quantum systems and nanotechnology. Read moreRead less