Large deviations for return times in non-rectangle sets for axiom A diffeomorphisms
Dynamical Systems
2007-12-05 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0712.0527,
title = {Large deviations for return times in non-rectangle sets for axiom A diffeomorphisms},
author = {Renaud Leplaideur and Benoit Saussol},
journal= {arXiv preprint arXiv:0712.0527},
year = {2007}
}