Ergodic Theory of Expanding Thurston Maps

• Main Author: Li, Zhiqiang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2017.
• Series: Atlantis Studies in Dynamical Systems ; 4
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Functions of complex variables.; Dynamical Systems and Ergodic Theory.; Functions of a Complex Variable.

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, a...

Table of Contents:

• 1.Introduction
• 2.Thurston maps
• 3.Ergodic theory
• 4.The measure of maximal entropy
• 5.Equilibrium states
• 6.Asymptotic h-Expansiveness
• 7.Large deviation principles. .