| EPSRC Reference: |
EP/K011758/1 |
| Title: |
Spatial Coalescent Models |
| Principal Investigator: |
Tribe, Dr R |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research |
| Starts: |
01 June 2013 |
Ends: |
31 May 2016 |
Value (£): |
285,213
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Statistics & Appl. Probability |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
The proposal is an investigation into models involving spatial coalescence, with the broad aim of gaining an understanding of the evolutions of models involving these mechanisms, for example in their dynamics or stationary distributions, but also, especially in applied settings, for the universal features of their spatial and temporal statistics, for example via the derivation of concrete scaling laws for associated probabilities and expectations in terms of the model parameters.
In particular to gain an understanding of:
I. Large time density estimates for multi-species coalescence models;
II. Negative correlations properties for models with coalescence;
III. Pfaffian, and extended Pfaffian, properties for the particle densities, and joint particle-mass densities, for spatial models with coalescence;
IV. Steady states for coalescent models with immigration;
V. The evolution for the eigenvalues for the real Ginibre matrices and its connection with annihilating systems.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.warwick.ac.uk |