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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. 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
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Communications in Mathematical Physics
Publisher: Springer
ISSN: 0010-3616
Date: August 2009
Volume: Vol.290
Number: No.1
Number of Pages: 14
Page Range: pp. 321-334
Identification Number: 10.1007/s00220-008-0725-9
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/27703

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