English

Sharp large deviations for some hyperbolic systems

Dynamical Systems 2019-02-20 v2 Mathematical Physics math.MP

Abstract

We prove a sharp large deviation principle concerning intervals shrinking with sub-exponential speed for certain models involving the Poincar\'e map related to a Markov family for an Axiom A flow restricted to a basic set Λ\Lambda satisfying some additional regularity assumptions.

Keywords

Cite

@article{arxiv.1206.2013,
  title  = {Sharp large deviations for some hyperbolic systems},
  author = {Vesselin Petkov and Luchezar Stoyanov},
  journal= {arXiv preprint arXiv:1206.2013},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:0810.1126

R2 v1 2026-06-21T21:16:56.956Z