Statistics and Mathematical Modelling in Combination
| Reference No. | 2022b003 |
|---|---|
| Type/Category | Grant for International Project Research-Workshop (I) |
| Title of Research Project | Statistics and Mathematical Modelling in Combination |
| Principal Investigator | Dr Christopher Lenard（La Trobe University / Head of Department of Mathematical and Physical Sciences） |
| Research Period |
November 16, 2022. - November 18, 2022. |
| Keyword(s) of Research Fields | Model identification, Inverse problems, Partial differential equations, Ecological modelling, Infectious disease modelling, Evolutionary modelling, Dynamical systems |
| Abstract for Research Report | This workshop will immediately precede the FFMI, “Mathematics for Health and Sustainability”, Monday 21st November-Thursday 24th November in the same city, and be associated with a public lecture on the topic of: “The applicability of mathematics to the world”. We are currently exploring philanthropic support for costs associated with the public lecture via an interested private individual. The theme of this workshop is broader than that of the forum and there will be contributed talks as well as invited talks, designed to attract a number of delegates from Australia, New Zealand and Japan, as well as some from the Asia-Pacific region who are attracted to attend both. It is hoped that two of the invited speakers for this workshop could be among those selected to speak at the FFMI, thereby reducing total costs of hosting FFMI. It is also hoped that the public lecture speaker could be among those selected to speak at the workshop and/or FFMI, further reducing costs. There are currently several hot topics as well as traditional topics that require statistical methods, along with deterministic modelling with differential and integral equations. Examples include 1. Model identification, where statistical methods are used to deduce the coefficients of differential equations from a set of output data. 2. Inverse problems to determine transport coefficients in diffusion models from noisy data. 3. Evolution equations with uncertain model parameters. 4. Transport in random media. 5. Partial differential equations for pricing financial derivatives based on fluctuating stocks. 6. Stationary distributions of ergodic dynamical systems. 7. Path integrals to represent stochastic dynamical systems. 8. Boltzmann equation based on statistical dynamics. 9. Fractional-order differential equations to represent transport in fractal media. 10. Modelling real ecosystems. 11. Modelling complex economic systems. 12. Statistical change point identification for switching dynamical models. 13. Problems in the probabilistic interpretation of deterministic Schroedinger equation. Given the broad applicability of a combined statistical and deterministic modelling approach to problems in industry, government and the natural sciences, a workshop dedicated to this topic will be of interest to a range of researchers. The workshop will bring together researchers and students from a range of fields and provide an opportunity for them to share ideas and discuss the latest results from their own research. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Prof Luke Prendergast（La Trobe University / Deputy Dean-Assoc Dean, Domestic Pship） Dr. Luke Bennetts（University of Adelaide / Senior Research Fellow） Dr Anja Slim（Monash University / Senior Lecturer） Dr Rebecca Chisholm（La Trobe University / Senior Lecturer） |