Large deviations for return times in non-rectangle sets for axiom A diffeomorphisms

Renaud Leplaideur (1) , Benoit Saussol (1)

1 LM - Laboratoire de mathématiques de Brest

For Axiom A diffeomorphisms and equilibrium states, we prove a Large deviations result for the sequence of successive return times into a fixed Borel set, under some assumption on the boundary. Our result relies on and extends the work by Chazottes and Leplaideur who considered cylinder sets of a Markov partition.

Mots clés: large deviations; return times; thermodynamic formalism

Domaines: Systèmes dynamiques [math.DS]

Renaud Leplaideur, Benoit Saussol. Large deviations for return times in non-rectangle sets for axiom A diffeomorphisms. 2007. ⟨hal-00193594⟩