Titlebook: Ergodic Theory of Expanding Thurston Maps; Zhiqiang Li Book 2017 Atlantis Press and the author(s) 2017 Thurston Map.Postcritically-finite

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Book 2017panding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps. In particular, we present equidistribution results for iterated preimages and periodic points with

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Sakayu Shimizu,Michihiko Kataokafactor, in the category of measure-preserving dynamical systems, of the measure-preserving dynamical system of the left-shift operator on the one-sided infinite sequences of . symbols together with its measure of maximal entropy.

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Biotremology: Studying Vibrational Behaviorals. Finally in Sect. ., we derive equidistribution of periodic points and iterated preimages with respect to the equilibrium state in our context with fairly flexible choices of weight at each point.

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Thurston Maps,and properties of certain forward invariant Jordan curves on ., which induce nice partitions of the sphere. It is the geometric and combinatorial information we get from these tools that enables us to investigate the dynamical properties of expanding Thurston maps.

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The Measure of Maximal Entropy,factor, in the category of measure-preserving dynamical systems, of the measure-preserving dynamical system of the left-shift operator on the one-sided infinite sequences of . symbols together with its measure of maximal entropy.

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