Large deviation for return times in open sets for axiom A diffeomorphisms

Renaud Leplaideur (1) , Benoit Saussol (1)

1 LM - Laboratoire de mathématiques de Brest

For axiom A diffeomorphisms and equilibrium state, we prove a Large deviation result for the sequence of successive return times into a fixed open set, under some assumption on the boundary. Our result relies on and extends the work by Chazottes and Leplaideur who where considering cylinder sets of a Markov partition.

Mots clés: large deviation; return time; thermodynamic formalism

Domaines: Systèmes dynamiques [math.DS]

Renaud Leplaideur, Benoit Saussol. Large deviation for return times in open sets for axiom A diffeomorphisms. 2007. ⟨hal-00169265⟩