Hidden Bibliographic Details
| ISBN: | 9781107089044
1107089042
9781107359987
1107359988
0521594200
9780521594202
0521595347
9780521595346
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| Notes: | Includes bibliographical references (pages 169-173) and index.
Print version record.
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| Summary: | 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 which 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 which are listed (with references to the literature) in an appendix.
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| Other form: | Print version: Keller, Gerhard, 1954- Equilibrium states in ergodic theory. Cambridge ; New York, NY, USA : Cambridge University Press, 1998 0521594200
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