| EPSRC Reference: |
EP/E058124/1 |
| Title: |
Stochastic Analysis on Noncompact Manifolds |
| Principal Investigator: |
Li, Professor X |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research |
| Starts: |
01 April 2008 |
Ends: |
31 March 2011 |
Value (£): |
231,695
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The central theme of the project is the analysis of the so called path spaces, the space of continuous paths over a curved space. The aim is to gain an understanding of its geometry and to obtain a geometric analysis for it and for its subspaces. This knowledge shall be used for the analysis of more complicated spaces such as the space of continuous loops. The main focus of the investigation will be analysis on Lp spaces. Stochastic differential equations on geometric spaces will be a primary tool and so will also be studied. The emphasis of this proposal will be path spaces over a smooth non-compact but complete Riemannian manifold.
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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 |