Ergodic Theory of Expanding Thurston Maps (Atlantis Studies in Dynamical Systems) <Vol. 4>

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English

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Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding 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.

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