| EPSRC Reference: |
GR/A90923/01 |
| Title: |
INFINITE DIMENSIONAL STOCHASTIC PROCESSES AND THEIR APPLICATIONS |
| Principal Investigator: |
Etheridge, Professor A |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
01 October 1999 |
Ends: |
31 August 2005 |
Value (£): |
236,886
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
| Pharmaceuticals and Biotechnology |
No relevance to Underpinning Sectors |
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The proposed research falls into three broad categories: stochastic techniques in nonlinear pde, infinite dimensional stochastic processes and stochastic models in genetics.In the first category, stochastic techniques will be developed and exploited in the study of solutions to Fujita equations (an important class of semilinear heat equations) and their blowup.The second strand of the proposal is concerned with the general theory of infinite dimentional stochastic processes, especially in the context where the current theory of stochastic partial differential equations breaks down. Specific examples include stochastic models of `interfaces'. The third part of the proposal attacks one of the most important questions in theoretical population genetics: to develop models that describe the genealogy of a population in complex settings. The challenge is to provide mathematically tractable models which incorporate the key processes of evolution (such as selection and recombination), but reflect the essentially finite nature of real populations.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.ox.ac.uk |