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Ergodic Theory of Expanding Thurston Maps
Zhiqiang Li
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Description for Ergodic Theory of Expanding Thurston Maps
Hardback. Series: Atlantis Studies in Dynamical Systems. Num Pages: 182 pages, 12 black & white illustrations, biography. BIC Classification: PBKD; PBKL; PBWR. Category: (P) Professional & Vocational. Dimension: 235 x 155. .
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. In particular, we present equidistribution results for iterated preimages and periodic points with respect to the unique measure of maximal entropy by investigating the number and locations of fixed points. We then use the thermodynamical formalism to establish the existence, uniqueness, and various other properties of the equilibrium state for ... Read more
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. In particular, we present equidistribution results for iterated preimages and periodic points with respect to the unique measure of maximal entropy by investigating the number and locations of fixed points. We then use the thermodynamical formalism to establish the existence, uniqueness, and various other properties of the equilibrium state for ... Read more
Product Details
Format
Hardback
Publication date
2017
Publisher
Atlantis Press (Zeger Karssen) Netherlands
Number of pages
182
Condition
New
Series
Atlantis Studies in Dynamical Systems
Number of Pages
182
Place of Publication
, Netherlands
ISBN
9789462391734
SKU
V9789462391734
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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