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Large deviations, fluctuations and shrinking intervals
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Pollicott, Mark and Sharp, Richard (2009) Large deviations, fluctuations and shrinking intervals. Communications in Mathematical Physics, Vol.290 (No.1). pp. 321-334. doi:10.1007/s00220-008-0725-9
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Official URL: http://dx.doi.org/10.1007/s00220-008-0725-9
Abstract
This paper concerns the statistical properties of hyperbolic diffeomorphisms. We obtain a large deviation result with respect to slowly shrinking intervals for a large class of Holder continuous functions. In case of time reversal symmetry, we obtain a corresponding version of the Fluctuation Theorem.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Communications in Mathematical Physics | ||||
| Publisher: | Springer | ||||
| ISSN: | 0010-3616 | ||||
| Official Date: | August 2009 | ||||
| Dates: |
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| Volume: | Vol.290 | ||||
| Number: | No.1 | ||||
| Number of Pages: | 14 | ||||
| Page Range: | pp. 321-334 | ||||
| DOI: | 10.1007/s00220-008-0725-9 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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