Directed assembly and photoelectric properties of core-shell nanowire networks of PbSe-TiO2 heterostructures for high efficiency low-cost solar cells. The proposed program is aimed at studying numerous fundamental properties and phenomena of photoelectrochemical cells that have an important impact on environmentally friendly solutions to energy problems. Specifically, solar cells have a significant role in energy markets and in lessening CO2 emissions and other environmental impacts. Solar cell ....Directed assembly and photoelectric properties of core-shell nanowire networks of PbSe-TiO2 heterostructures for high efficiency low-cost solar cells. The proposed program is aimed at studying numerous fundamental properties and phenomena of photoelectrochemical cells that have an important impact on environmentally friendly solutions to energy problems. Specifically, solar cells have a significant role in energy markets and in lessening CO2 emissions and other environmental impacts. Solar cell technology, coupled with renewable energy sources, has the potential to provide a long-term solution to the energy crisis and the global warming threat. In addition, the strong team to be assembled will reach a leading position in this area of cutting edge technology. The outcomes will benefit Australian industries.Read moreRead less
A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavo ....A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavoidable negative outcomes, by flexibly adjusting the mining operation to prevailing geological and economic conditions. Australia's mineral exports are worth over $50b annually to the Australian economy. Our techniques will better manage Australia's mining projects and capture new, emerging markets, significantly impacting on Australia's balance of trade.Read moreRead less
Design of reactive foils for joining amorphous alloys. Amorphous alloys or metallic glasses are special materials that retain the random structure of a liquid but in a solid form. They can show special properties of very high strength, toughness and corrosion resistance. The enormous difficulty in joining amorphous alloys to make larger assemblies is greatly curbing their uptake in technology. In this research, state of the art experimental and computational tools will be used to investigate the ....Design of reactive foils for joining amorphous alloys. Amorphous alloys or metallic glasses are special materials that retain the random structure of a liquid but in a solid form. They can show special properties of very high strength, toughness and corrosion resistance. The enormous difficulty in joining amorphous alloys to make larger assemblies is greatly curbing their uptake in technology. In this research, state of the art experimental and computational tools will be used to investigate the extremely fast high temperature reactions occurring in reactive foils of layered metals which, when inserted at the proposed join and ignited, quickly produce a bond. The research will lay the foundation for a robust and reliable means for joining amorphous alloys by means of reactive foils. Read moreRead less
Global Lithospheric Architecture Mapping II. The continents have been rifted, or broken up, and collided, or re-assembled, along major zones of weakness many times throughout Earth's history. Boundaries between such continental domains focus large-scale movements of fluids that can produce giant ore deposits. This study will provide new perspectives on the localisation of world-class economic deposits, the Earth resources on which society depends. Innovations in imaging the deep Earth beneath co ....Global Lithospheric Architecture Mapping II. The continents have been rifted, or broken up, and collided, or re-assembled, along major zones of weakness many times throughout Earth's history. Boundaries between such continental domains focus large-scale movements of fluids that can produce giant ore deposits. This study will provide new perspectives on the localisation of world-class economic deposits, the Earth resources on which society depends. Innovations in imaging the deep Earth beneath continents, and in numerical modelling, will maintain our high international profile in research relevant to National Priority 1.6 (Developing Deep Earth Resources). Unique 3D geological maps of regions down to 250km will make the composition of deep Earth regions newly accessible to geoscientists and all potential endusers.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
Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that e ....Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that edge in a number of key disciplines, so we can continue to participate in global technological advance. The project has an international focus which will enable that to happen. It will also provide training for the next generation of mathematicians. Read moreRead less
Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model sy ....Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model systems and to study their evolution, giving us better predictive power. It will keep Australia in the forefront of international research, providing a basis of expertise not otherwise available to Australian researchers and industry. Read moreRead less
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.