Weak Specification Properties and Large Deviations for Non-additive Potentials
Dynamical Systems
2019-02-20 v3
Abstract
We obtain large deviation bounds for the measure of deviation sets associated to asymptotically additive and sub-additive potentials under some weak specification properties. In particular a large deviation principle is obtained in the case of uniformly hyperbolic dynamical systems. Some examples in connection with the convergence of Lyapunov exponents are given.
Cite
@article{arxiv.1203.4409,
title = {Weak Specification Properties and Large Deviations for Non-additive Potentials},
author = {Paulo Varandas and Yun Zhao},
journal= {arXiv preprint arXiv:1203.4409},
year = {2019}
}
Comments
25 pages; accepted by Ergodic Theory and Dynamical Systems