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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 ISSN 0010-3616.
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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 | ||||
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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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