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Correlations of length spectra for negatively curved manifolds
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Pollicott, Mark and Sharp, Richard (2013) Correlations of length spectra for negatively curved manifolds. Communications in Mathematical Physics, Volume 319 (Number 2). pp. 515-533. doi:10.1007/s00220-012-1644-3 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-012-1644-3
Abstract
In this paper we obtain asymptotic estimates for pairs of closed geodesics on negatively curved manifolds, the differences of whose lengths lie in a prescribed family of shrinking intervals, where the geodesics are ordered with respect to a discrete length. In certain cases, this discrete length can be taken to be the word length with respect to a set of generators for the fundamental group.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Communications in Mathematical Physics | ||||
| Publisher: | Springer | ||||
| ISSN: | 0010-3616 | ||||
| Official Date: | April 2013 | ||||
| Dates: |
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| Volume: | Volume 319 | ||||
| Number: | Number 2 | ||||
| Page Range: | pp. 515-533 | ||||
| DOI: | 10.1007/s00220-012-1644-3 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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