Large deviations in non-uniformly hyperbolic dynamical systems
نویسندگان
چکیده
منابع مشابه
Large deviations in non-uniformly hyperbolic dynamical systems
We prove large deviation principles for ergodic averages of dynamical systems admitting Markov tower extensions with exponential return times. Our main technical result from which a number of limit theorems are derived is the analyticity of logarithmic moment generating functions. Among the classes of dynamical systems to which our results apply are piecewise hyperbolic diffeomorphisms, dispers...
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A. We obtain a large deviation bound for continuous observables on suspension semiflows over a non-uniformly expanding base transformation with non-flat singularities or criticalities, where the roof function defining the suspension behaves like the logarithm of the distance to the singular/critical set of the base map. That is, given a continuous function we consider its space average w...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2008
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385707000478