| EPSRC Reference: |
GR/K56407/01 |
| Title: |
METRIC DIOPHANTINE APPROXIMATION ON MANIFOLDS |
| Principal Investigator: |
Dodson, Professor MM |
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| Department: |
Mathematics |
| Organisation: |
University of York |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 December 1995 |
Ends: |
30 November 1998 |
Value (£): |
98,587
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Summary on Grant Application Form |
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Diophantine approximation will be considered on manifolds (curves, surfaces and so on) in K-dimensional Euclidean space in terms of Lebesgue measure and Hausdorff dimension. One of the main objectives is to investigate extremal manifolds, particularly the difficult and longstanding question of extremal curves. Geometrical and analytical techniques will be used and it is hoped to pursue more delicate best possible Khintchine results and to seek further refinements using Hausdorff dimension and asymptotic formulae. The natural applications to dynamical systems (via small denominators), hyperbolic geometry and complex analysis 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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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 |