Weak Specification Properties and Large Deviations for Non-additive Potentials

Details Weak Specification Properties and Large Deviations for Non-additive Potentials Weak Specification Properties and Large Deviations for Non-additive Potentials

2012-03-20

arxiv.org/abs/1203.4409v1

Mathematics

Dynamical Systems

24 pages

Scientific paper

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.

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