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.
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.
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
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
Ductile FRP retrofit of concrete frames subject to static and earthquake loading. Australia needs to spend at least $500 million annually on the repair and upgrading of concrete structures alone just to maintain our existing civil infrastructure. Furthermore, it has been estimated that more than 500 deaths and $10 billion damage will be caused by a moderate earthquake in Sydney or Melbourne. Most of this damage will be due to the collapse of buildings. This research will develop a new form of ....Ductile FRP retrofit of concrete frames subject to static and earthquake loading. Australia needs to spend at least $500 million annually on the repair and upgrading of concrete structures alone just to maintain our existing civil infrastructure. Furthermore, it has been estimated that more than 500 deaths and $10 billion damage will be caused by a moderate earthquake in Sydney or Melbourne. Most of this damage will be due to the collapse of buildings. This research will develop a new form of ductile plating that will reduce the cost of retrofitting concrete bridges and buildings. This project will also help train two PhD students and one Research Associate and further enhance the existing collaboration between Australia and Italy.Read moreRead less
A unified reinforced concrete model for flexure and shear. The catastrophic Minnesota River Bridge collapse in the USA in 2007 highlighted the importance of accurately assessing, maintaining, upgrading and prolonging the design life of our aging infrastructure. The problem, which is just as severe in Australia, is further exacerbated by increasing man-made (terrorist) hazards and natural hazards such as earthquake, tsunami, flood and bushfire. Reinforced concrete and composite steel-concrete st ....A unified reinforced concrete model for flexure and shear. The catastrophic Minnesota River Bridge collapse in the USA in 2007 highlighted the importance of accurately assessing, maintaining, upgrading and prolonging the design life of our aging infrastructure. The problem, which is just as severe in Australia, is further exacerbated by increasing man-made (terrorist) hazards and natural hazards such as earthquake, tsunami, flood and bushfire. Reinforced concrete and composite steel-concrete structures comprise a very large part of Australia's bridge and building infrastructure. This project will provide a safe and more economical tool for engineers to both extend the working-life of existing infrastructure and design new infrastructure.Read moreRead less
Quantum Coherences in Artificial Light-Harvesting Complexes. The aim of this project is to relate efficient energy and electron transfer processes in molecular materials to the presence of quantum coherences. The ongoing debate on the role of quantum coherences in the efficient harvesting of sunlight of photosynthesis appears to be limited by the complexity of the biological systems and a lack of high instrumentation sensitivity. Using molecular systems and a highly sensitive method, this projec ....Quantum Coherences in Artificial Light-Harvesting Complexes. The aim of this project is to relate efficient energy and electron transfer processes in molecular materials to the presence of quantum coherences. The ongoing debate on the role of quantum coherences in the efficient harvesting of sunlight of photosynthesis appears to be limited by the complexity of the biological systems and a lack of high instrumentation sensitivity. Using molecular systems and a highly sensitive method, this project aims to reveal the effects of molecular conformation and geometry on quantum coherences. The outcome is likely to improve our understanding of nature's remarkable ability to harvest energy efficiently from the sun and foster new approaches that increase the efficiency of light-harvesting systems.Read moreRead less
Mitigating Vehicular Crashes into Masonry Buildings . Around 2000 vehicles crash annually into school, home and shop buildings located at close proximity to heavily trafficked roads in Australia and cause significant distress to occupants of building and vehicle. The impacted walls mostly of masonry, suffer severe damage often with vehicle intrusion into the building. Despite this, the intrusion mechanism is not understood and no effective mitigation strategies exist at present. This project wi ....Mitigating Vehicular Crashes into Masonry Buildings . Around 2000 vehicles crash annually into school, home and shop buildings located at close proximity to heavily trafficked roads in Australia and cause significant distress to occupants of building and vehicle. The impacted walls mostly of masonry, suffer severe damage often with vehicle intrusion into the building. Despite this, the intrusion mechanism is not understood and no effective mitigation strategies exist at present. This project will uncover the mechanics of vehicle intrusions through masonry walls and develop novel mitigation strategies using high energy absorbing auxetic composite render and innovative vibration isolation at wall edges. These innovations will lead to new theories that can save lives in the building and vehicle.Read moreRead less