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Sharp large deviations for some hyperbolic flows
Authors:Vesselin Petkov  Luchezar Stoyanov
Institution:1. Université Bordeaux I, institut de mathématiques, 351, cours de la Libération, 33405 Talence, France;2. University of Western Australia, School of Mathematics and Statistics, Perth, WA 6009, Australia
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 satisfying some additional regularity assumptions.
Keywords:
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