Sharp large deviations for some hyperbolic systems

Abstract

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

arXiv admin note: substantial text overlap with arXiv:0810.1126

References in corpus (2)

• Large deviations for non-uniformly expanding maps
• Correlations for pairs of periodic trajectories for open billiards

Cited by in corpus (1)

• Sharp large deviations for hyperbolic flows