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.
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.
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@article{CRMATH_2012__350_13-14_665_0, author = {Petkov, Vesselin and Stoyanov, Luchezar}, title = {Sharp large deviations for some hyperbolic flows}, journal = {Comptes Rendus. Math\'ematique}, pages = {665--669}, publisher = {Elsevier}, volume = {350}, number = {13-14}, year = {2012}, doi = {10.1016/j.crma.2012.07.012}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.07.012/} }
TY - JOUR AU - Petkov, Vesselin AU - Stoyanov, Luchezar TI - Sharp large deviations for some hyperbolic flows JO - Comptes Rendus. Mathématique PY - 2012 SP - 665 EP - 669 VL - 350 IS - 13-14 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.07.012/ DO - 10.1016/j.crma.2012.07.012 LA - en ID - CRMATH_2012__350_13-14_665_0 ER -
%0 Journal Article %A Petkov, Vesselin %A Stoyanov, Luchezar %T Sharp large deviations for some hyperbolic flows %J Comptes Rendus. Mathématique %D 2012 %P 665-669 %V 350 %N 13-14 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.07.012/ %R 10.1016/j.crma.2012.07.012 %G en %F CRMATH_2012__350_13-14_665_0
Petkov, Vesselin; Stoyanov, Luchezar. 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. http://archive.numdam.org/articles/10.1016/j.crma.2012.07.012/
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