English

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

Dynamical Systems 2007-09-04 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0709.0238,
  title  = {Large deviation for return times in open sets for axiom A diffeomorphisms},
  author = {Renaud Leplaideur and Benoît Saussol},
  journal= {arXiv preprint arXiv:0709.0238},
  year   = {2007}
}
R2 v1 2026-06-21T09:13:19.741Z