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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

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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:
DateEvent
August 2009Published
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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