Published April 2009
| public
Journal Article
Large intersection properties in Diophantine approximation and dynamical systems
- Creators
- Durand, Arnaud
Chicago
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Abstract
We investigate the large intersection properties of the set of points that are approximated at a certain rate by a family of affine subspaces. We then apply our results to various sets arising in the metric theory of Diophantine approximation, in the study of the homeomorphisms of the circle, and in the perturbation theory for Hamiltonian systems.
Additional Information
© 2009 London Mathematical Society. Received March 27, 2008; revised October 9, 2008; published online January 21, 2009. Acknowledgements. The author is grateful to the anonymous referee for his helpful comments and to Nawaf Bou-Rabee for stimulating discussions about the matter of Section 5. 2000 Mathematics Subject Classification 28A80 (primary), 11J83, 28A78, 37E10, 37J40 (secondary).Additional details
- Eprint ID
- 14668
- DOI
- 10.1112/jlms/jdn077
- Resolver ID
- CaltechAUTHORS:20090727-094049546
- Created
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2009-08-07Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field