Large deviation principles for non-uniformly hyperbolic rational maps
نویسندگان
چکیده
منابع مشابه
Large Deviations Bounds for Non-uniformly Hyperbolic Maps and Weak Gibbs Measures
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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Given an orbit whose linearization has invariant subspaces satisfying some non-resonance conditions in the exponential rates of growth, we prove existence of invariant manifolds tangent to these subspaces. The exponential rates of growth can be understood either in the sense of Lyapunov exponents or in the sense of exponential dichotomies. These manifolds can correspond to “slow manifolds”, whi...
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In 1980’s, Thurston established a combinatorial characterization for post-critically finite rational maps among post-critically finite branched coverings of the two sphere to itself. A completed proof was written by Douady and Hubbard in their paper [A. Douady, J.H. Hubbard, A proof of Thurston’s topological characterization of rational functions, Acta Math. 171 (1993) 263–297]. This criterion ...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2010
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385709001163