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

Renaud Leplaideur, Benoît Saussol

Published 2007-09-03Version 1

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.