| EPSRC Reference: |
GR/N02832/01 |
| Title: |
(ROPA) METRIC DIOPHANITE APPROXIMATION, DISTANCE FUNCTIONS AND EXTREMALITY |
| Principal Investigator: |
Dodson, Professor MM |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of York |
| Scheme: |
ROPA |
| Starts: |
01 May 2000 |
Ends: |
31 December 2002 |
Value (£): |
72,280
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The first objective is to extend the Khintchine-Groshev theorem, a fundamental result in metric Diophantine approximation, to distance functions F by exploiting the associated star body geometry and so unify different types of results. Quantitative refinements in the form of asymptotic formulae and Hausdorff dimension would be also investigated. The important analogues of these results for smooth manifolds would be studied, so that extremality and strong extremality are combined in the notion of F-extremality. More delicate Khintchine-Groshev type results would also be sought. The appropriate analogue of extremality in a complex function theory setting would be explored.
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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 |