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

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

2007-09-03

arxiv.org/abs/0709.0238v1

Mathematics

Dynamical Systems

Scientific paper

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.

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