| EPSRC Reference: |
GR/R90727/01 |
| Title: |
Diophantine Approximation and Hausdorff Dimension on Manifolds |
| Principal Investigator: |
Dodson, Professor MM |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of York |
| Scheme: |
ROPA |
| Starts: |
01 July 2003 |
Ends: |
30 June 2005 |
Value (£): |
83,401
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Analysis |
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Summary on Grant Application Form |
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Exceptional sets in metric Diophantine approximation on manifolds will be investigated. For those arising from extremality, it is likely that the Hausdorff dimension depends only on the error function and the topological dimension of the manifold. For those associated with simultaneous Diophantine approximation, the Hausdorff dimension depends on the algebraic or arithmetic structure of the manifold as well, reflecting the more delicate character of the approximation. Elucidating the intriguing question of how these aspects affect the Hausdorff dimension will be pursued.
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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.york.ac.uk |