Equilibrium States in Ergodic Theory (London Mathematical Society Student Texts) - Gerhard Keller (1998)
ISBN 0521595347
Subject Ergodic theory; Differentiable dynamical systems
Publisher Cambridge University Press
Publication Date 2/13/1998
Format Paperback (227 x 153 mm)
Language eng
This book provides a detailed introduction to the ergodic theory of equilibrium states giving equal weight to two of its most important applications, namely to equilibrium statistical mechanics on lattices and to (time discrete) dynamical systems. It starts with a chapter on equilibrium states on finite probability spaces that introduces the main examples for the theory on an elementary level. After two chapters on abstract ergodic theory and entropy, equilibrium states and variational principles on compact metric spaces are introduced, emphasizing their convex geometric interpretation. Stationary Gibbs measures, large deviations, the Ising model with external field, Markov measures, Sinai-Bowen-Ruelle measures for interval maps and dimension maximal measures for iterated function systems are the topics to which the general theory is applied in the last part of the book. The text is self contained except for some measure theoretic prerequisites that are listed (with references to the literature) in an appendix.
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Collection Status In Collection
Index 1140
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Product Details
LoC Classification QA611.5.K45 1998
Dewey 515/.42
Cover Price $32.99
No. of Pages 188