Sharp large deviations for some hyperbolic flows

Vesselin Petkov; Luchezar Stoyanov

doi:10.1016/j.crma.2012.07.012

Mathematical Analysis/Dynamical Systems

Sharp large deviations for some hyperbolic flows
[Larges déviations exactes pour certains flots hyperboliques]

Présenté par : the Editorial Board

Vesselin Petkov ¹ ; Luchezar Stoyanov ²

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

Comptes Rendus. Mathématique, Volume 350 (2012) no. 13-14, pp. 665-669.

Résumé
Abstract

On justifie le principe de larges déviations exactes avec des intervalles décroissants sub-exponentiellement pour certains modèles concernant lʼapplication de Poincaré associée à une famille de Markov pour un Axiom A flot restreint à un ensemble basique qui satisfait des conditions de régularité additionnelles.

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.

Reçu le : 2012-06-28
Accepté le : 2012-07-27
Publié le : 2012-07-01

DOI : 10.1016/j.crma.2012.07.012

Affiliations des auteurs :

Vesselin Petkov ¹ ; Luchezar Stoyanov ²

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

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     title = {Sharp large deviations for some hyperbolic flows},
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Vesselin Petkov; Luchezar Stoyanov. Sharp large deviations for some hyperbolic flows. Comptes Rendus. Mathématique, Volume 350 (2012) no. 13-14, pp. 665-669. doi : 10.1016/j.crma.2012.07.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.07.012/

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