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A note on the shrinking sector problem for surfaces of variable negative curvature
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Pollicott, Mark (2017) A note on the shrinking sector problem for surfaces of variable negative curvature. Steklov Institute of Mathematics. Proceedings, 297 (1). pp. 254-263. ISSN 0081-5438.
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Abstract
Given the universal cover for a compact surface of variable negative curvature we consider, for each k ≥ 0, the limiting probability for the directions in which a narrowing sector of unit area contains exactly k in the orbit of the covering group. This can be done relative to any Gibbs measure and follows directly from the strong mixing property
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Geodesic flows, Anosov flows, Foliations (Mathematics) , Curvature | ||||||||
| Journal or Publication Title: | Steklov Institute of Mathematics. Proceedings | ||||||||
| Publisher: | M A I K Nauka - Interperiodica | ||||||||
| ISSN: | 0081-5438 | ||||||||
| Official Date: | May 2017 | ||||||||
| Dates: |
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| Volume: | 297 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | pp. 254-263 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 30 January 2017 | ||||||||
| Date of first compliant Open Access: | 31 January 2017 |
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