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

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

2007-12-04

arxiv.org/abs/0712.0527v1

Mathematics

Dynamical Systems

Scientific paper

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.

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