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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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Prinzip „Morphische Felder“/„Lebensfelder“in Sect. ., where we by no means intend to give a complete account of the development of the subject. We then introduce Thurston maps in Sect. . and certain cell decompositions of the 2-sphere . induced by Thurston maps in Sect. .. Next, we discuss various notions of expansion in our context and def
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https://doi.org/10.1007/978-1-4614-8005-1 measure-theoretic entropy and topological entropy, as well as measure-theoretic pressure and topological pressure are introduced before measures of maximal entropy and equilibrium states are defined. In Sect. ., we formulate the Ruelle operator . for an expanding Thurston map and a complex-valued c
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Biotremology: Studying Vibrational Behaviorg Thurston maps without periodic critical points. The idea is to apply a general framework devised by Y. Kifer [Ki90] to obtain level-2 large deviation principles, and to derive the equidistribution results as consequences. In Sect. ., we give a brief review of level-2 large deviation principles in
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Introduction,r naturally in mathematics and play important roles in the investigation of the corresponding areas of research. One particularly abundant source of self-similar fractals is the study of holomorphic dynamics, where they arise as Julia sets of rational functions and limit sets of Kleinian groups.
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Thurston Maps,in Sect. ., where we by no means intend to give a complete account of the development of the subject. We then introduce Thurston maps in Sect. . and certain cell decompositions of the 2-sphere . induced by Thurston maps in Sect. .. Next, we discuss various notions of expansion in our context and def
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Ergodic Theory, measure-theoretic entropy and topological entropy, as well as measure-theoretic pressure and topological pressure are introduced before measures of maximal entropy and equilibrium states are defined. In Sect. ., we formulate the Ruelle operator . for an expanding Thurston map and a complex-valued c
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