Large Deviations Bounds for Non-uniformly Hyperbolic Maps and Weak Gibbs Measures
نویسنده
چکیده
We establish bounds for the measure of deviation sets associated to continuous observables with respect to weak Gibbs measures. Under some mild assumptions, we obtain upper and lower bounds for the measure of deviation sets of some non-uniformly expanding maps, including quadratic maps and robust multidimensional non-uniformly expanding local diffeomorphisms.
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