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Sharp large deviations for some hyperbolic systems

Published online by Cambridge University Press:  13 August 2013

VESSELIN PETKOV  and
LUCHEZAR STOYANOV
VESSELIN PETKOV
Affiliation:
Institut de Mathématiques de Bordeaux, Université Bordeaux I, 351, Cours de la Libération, 33405 Talence, France email [email protected]
LUCHEZAR STOYANOV
Affiliation:
School of Mathematics and Statistics, University of Western Australia, Perth, WA 6009, Australia email [email protected]
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Abstract

We prove a sharp large deviation principle concerning intervals shrinking with sub-exponential speed for certain models involving the Poincaré map related to a Markov family for an Axiom A flow restricted to a basic set $\Lambda $ satisfying some additional regularity assumptions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 35 , Issue 1 , February 2015 , pp. 249 - 273
Copyright
© Cambridge University Press, 2013 

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