Sharp large deviations for some hyperbolic systems

Vesselin Petkov (1) , Luchezar Stoyanov (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 School of Mathematics and Statistics [Crawley, Perth]

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.

Mots clés: large deviations; uniform hyperbolic systems; Ruelle operators

Domaines: Systèmes dynamiques [math.DS]; Physique mathématique [math-ph]

Vesselin Petkov, Luchezar Stoyanov. Sharp large deviations for some hyperbolic systems. Ergodic Theory and Dynamical Systems, 2015, 35 (1), pp.249-273. ⟨hal-00947066⟩