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.
Enabling three dimensional stochastic geological modelling. This project aims to develop technologies to mitigate three dimensional (3D) geological risk in resources management. This project expects to create new knowledge and methods in the field of 3D geological modelling through the innovative application of mathematical methods, structural geology concepts and probabilistic programming. The expected outcomes are an enhanced capability to model the subsurface, characterise model uncertainty a ....Enabling three dimensional stochastic geological modelling. This project aims to develop technologies to mitigate three dimensional (3D) geological risk in resources management. This project expects to create new knowledge and methods in the field of 3D geological modelling through the innovative application of mathematical methods, structural geology concepts and probabilistic programming. The expected outcomes are an enhanced capability to model the subsurface, characterise model uncertainty and test multiple geological scenarios. This enhanced capability is important for the future of Australia's subsurface management, including urban geology and our continuously growing sustainable resources industry.Read moreRead less
Electronic and Optical Properties of Doped Titanium Dioxide. Titanium dioxide, is widely used as a white pigment, owing to its high refractive index, second, only after diamond. Yellowing of rutile pigment particles, observed on prolonged exposure to sunlight, is a serious problem that pigment manufacturers would like to overcome. It is proposed that aluminium-doping of rutile limits this discolouration by altering the electronic structure of the rutile particles. This project seeks to identify ....Electronic and Optical Properties of Doped Titanium Dioxide. Titanium dioxide, is widely used as a white pigment, owing to its high refractive index, second, only after diamond. Yellowing of rutile pigment particles, observed on prolonged exposure to sunlight, is a serious problem that pigment manufacturers would like to overcome. It is proposed that aluminium-doping of rutile limits this discolouration by altering the electronic structure of the rutile particles. This project seeks to identify the specific electronic cause of the yellowing process, the nature of the Al defect,it's effect on the electronic structure of rutile, and the electronic perturbations that may occur when other dopants are used.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
Structural and functional investigations of the human transcription machinery by ion mobility-mass spectrometry. This project will apply emerging mass spectrometric technologies to gain previously inaccessible insight into human transcription factor proteins. This will reveal new avenues for intervention in human disease states related to aberrant gene expression, while developing innovative methods for the study of complex protein assemblies.
Development of efficient, robust and architecturally-flexible structural systems using innovative blind-bolted connections. The aim of the proposed project is to develop structural systems that have sufficient stiffness, strength, and ductility to withstand code-specified loads and that will be competitive in the marketplace. The development of demonstrable cost-effective structural systems is essential if these types of systems are to be widely adopted in practice, thus allowing Australian manu ....Development of efficient, robust and architecturally-flexible structural systems using innovative blind-bolted connections. The aim of the proposed project is to develop structural systems that have sufficient stiffness, strength, and ductility to withstand code-specified loads and that will be competitive in the marketplace. The development of demonstrable cost-effective structural systems is essential if these types of systems are to be widely adopted in practice, thus allowing Australian manufacturers of blind bolts and steel tubes to achieve a greater market share.Read moreRead less
Fibre reinforced polymer retrofitting of reinforced concrete flexural members. A cost-effective and durable technique for retrofitting reinforced concrete beams and slabs is to adhesively bond new advanced fibre reinforced polymer (FRP) composites to their surfaces. The potential plating market in Australia for bridges is $350 million, however, the technique can also be applied to strengthening other structures such as buildings. Tests have shown that FRP plates or sheets can debond prematurely, ....Fibre reinforced polymer retrofitting of reinforced concrete flexural members. A cost-effective and durable technique for retrofitting reinforced concrete beams and slabs is to adhesively bond new advanced fibre reinforced polymer (FRP) composites to their surfaces. The potential plating market in Australia for bridges is $350 million, however, the technique can also be applied to strengthening other structures such as buildings. Tests have shown that FRP plates or sheets can debond prematurely, which at present severely limits the application. The aim of this research project is to quantify the debonding mechanisms, strengths and ductilities of adhesively bonded FRP plated beams to provide design rules that can be used in practice.Read moreRead less
Three-dimensional Bayesian Modelling of Geological and Geophysical data. The project aims to develop technologies enabling rapid informed decision-making related to the management of natural resources, including critical metals, copper and water. This new technology will support a greener future, securing our energy future, our access to clean water and reduce the mining footprint. Expected outcomes include an enhanced capability in interoperable, integrated three-dimensional geological and geop ....Three-dimensional Bayesian Modelling of Geological and Geophysical data. The project aims to develop technologies enabling rapid informed decision-making related to the management of natural resources, including critical metals, copper and water. This new technology will support a greener future, securing our energy future, our access to clean water and reduce the mining footprint. Expected outcomes include an enhanced capability in interoperable, integrated three-dimensional geological and geophysical modelling in order to predictively characterise sub-surface geology. The outcome will be an open-source forecasting dashboard enabling decision making while considering underlying risk related to resource extractions and management with significant benefits to the Australian society (lower emissions, clean water).Read moreRead less
Earthquake protection of masonry buildings using fibre reinforced polymer strengthening. The importance of this research is highlighted, both nationally and internationally, by the work of the insurance industry which reported that the economic risk posed by a moderate earthquake in any of the capital cities in Australia is of the order of billions of dollars (Blong, 1993). For example, a 'design magnitude' earthquake in Sydney is predicted to cause, just in domestic construction, over $10 bill ....Earthquake protection of masonry buildings using fibre reinforced polymer strengthening. The importance of this research is highlighted, both nationally and internationally, by the work of the insurance industry which reported that the economic risk posed by a moderate earthquake in any of the capital cities in Australia is of the order of billions of dollars (Blong, 1993). For example, a 'design magnitude' earthquake in Sydney is predicted to cause, just in domestic construction, over $10 billion damage and more than 5000 deaths. Most of this damage would be associated with unreinforced masonry construction such as low-rise apartment buildings. The damage bill for the entire built environment (with business interruption costs) could easily be an order of magnitude greater.Read moreRead less