Phonological effects on the development of inflectional morphology. This project investigates the mechanisms underlying typically developing children's variable omission of inflectional morphemes (for example, plural, past tense). The results will have significant implications for the evaluation and design of interventions for language-delayed populations where serious problems of communication persist.
Discovery Early Career Researcher Award - Grant ID: DE120102378
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
What shapes the structure of language? An experimental and computational investigation. How do people learn language so easily, and how is the structure of language shaped by our learning biases? This project attempts to answer these questions through an innovative combination of experimental and computational tools, with implications for technological development as well as educational interventions for both children and adults.
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.
Investigation of the component distributions of pause duration in spontaneous speech: Constraints for models of language production. We have discovered that the distribution of pause durations in spontaneous speech of individual speakers can be decomposed into at least two log-normal distributions. Our project will investigate this finding and provide a foundation for new research relevant to language production models. This will be achieved by determining the semantic, lexical, psycholinguistic ....Investigation of the component distributions of pause duration in spontaneous speech: Constraints for models of language production. We have discovered that the distribution of pause durations in spontaneous speech of individual speakers can be decomposed into at least two log-normal distributions. Our project will investigate this finding and provide a foundation for new research relevant to language production models. This will be achieved by determining the semantic, lexical, psycholinguistic, physiological, and acoustic concomitants of each component distribution and by investigating the impact of selected variables on the shape and location of each. The project has important implications for models of language production and applied problems involving automatic speech recognition, forensic speaker identification, and human communication disorders.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
Cape Keerweer 1606-2006: an ethnographic history of the Wik region, Queensland. In this research with Wik Aboriginal people I investigate how key facets of the peoples' lives have changed since the first Dutch visit 400 years ago. I seek a credible empirical explanation for their descent into crisis, especially post-1978, something with wider implications for the national interest. I examine historical causes through shifts in demography, land tenure, occupations, power relations, violence, lang ....Cape Keerweer 1606-2006: an ethnographic history of the Wik region, Queensland. In this research with Wik Aboriginal people I investigate how key facets of the peoples' lives have changed since the first Dutch visit 400 years ago. I seek a credible empirical explanation for their descent into crisis, especially post-1978, something with wider implications for the national interest. I examine historical causes through shifts in demography, land tenure, occupations, power relations, violence, language use, and art production. From the intensely local, the past individuals and cultural landscapes of Cape Keerweer, I move outward in space and onward in time tracing gradual Wik engagement in regional, state, national and global relationships 1606-2006.Read moreRead less
Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate eco ....Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate economic and climate forecasts. The tools produced will provide Australia's scientists and policy-makers with a greater capacity to manage the risks associated with these challenges. A side-benefit of the research will be high-quality publications that enhance the nation's reputation in this cutting edge research.Read moreRead less
Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms tha ....Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms that will make possible practical analysis of operator-analytic models.Read moreRead less