Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.Read moreRead less
Deciphering ion specificity in complex electrolytes . This project aims to understand how ions influence the behaviour and properties of complex electrolytes (solutions containing either multiple ions, solvent mixtures, high electrolyte concentrations or a variety of interfaces, solutes or polymers). Complex electrolytes are ubiquitous in colloidal and particle technologies and underpin industrial and natural processes. Our team will combine experiment, simulation and theory to deliver a univers ....Deciphering ion specificity in complex electrolytes . This project aims to understand how ions influence the behaviour and properties of complex electrolytes (solutions containing either multiple ions, solvent mixtures, high electrolyte concentrations or a variety of interfaces, solutes or polymers). Complex electrolytes are ubiquitous in colloidal and particle technologies and underpin industrial and natural processes. Our team will combine experiment, simulation and theory to deliver a universal framework for understanding and predicting specific ion effects in complex electrolytes. The project outcomes are expected to deliver new understanding for researchers, robust rules of thumb for technologists and a public resource for data-driven solutions in applications utilising salt solutions. Read moreRead less
Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the ....Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the outstanding performance of our Snakes-and-Ladders Heuristic (SLH) for the solution of the Hamiltonian cycle problem to identify its "fixed complexity orbits" and generalise this notion to other NP-complete problems.Read moreRead less
Industrial Transformation Training Centres - Grant ID: IC220100030
Funder
Australian Research Council
Funding Amount
$4,978,958.00
Summary
ARC Training Centre for Next-Gen Architectural Manufacturing. The Centre will generate specialised workforce capacity within Australia’s architectural sector. Leveraging advanced architectural computing discoveries will connect architectural design with the opportunities afforded by advanced manufacturing systems. The Centre will triangulate world-leading researchers, visionary partners, and talented graduates, integrating research into practice through digital business strategies, augmented int ....ARC Training Centre for Next-Gen Architectural Manufacturing. The Centre will generate specialised workforce capacity within Australia’s architectural sector. Leveraging advanced architectural computing discoveries will connect architectural design with the opportunities afforded by advanced manufacturing systems. The Centre will triangulate world-leading researchers, visionary partners, and talented graduates, integrating research into practice through digital business strategies, augmented intelligence, and computing domains of expertise. The Centre’s program of industry-embedded PhD’s, national/international placements, short courses, and post-doctoral projects will co-develop the change agents needed to transform the architectural profession to meet our nation’s immediate strategic needs.Read moreRead less