Equilibrium states in ergodic theory:
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 fi...
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| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1998
|
| Series: | London Mathematical Society student texts
42 |
| Links: | https://doi.org/10.1017/CBO9781107359987 |
| 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. |
| Physical Description: | 1 Online-Ressource (ix, 178 Seiten) |
| ISBN: | 9781107359987 |
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| spelling | Keller, Gerhard 1954- Equilibrium states in ergodic theory Gerhard Keller Cambridge Cambridge University Press 1998 1 Online-Ressource (ix, 178 Seiten) txt c cr London Mathematical Society student texts 42 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. Erscheint auch als Druck-Ausgabe 9780521594202 Erscheint auch als Druck-Ausgabe 9780521595346 |
| spellingShingle | Keller, Gerhard 1954- Equilibrium states in ergodic theory |
| title | Equilibrium states in ergodic theory |
| title_auth | Equilibrium states in ergodic theory |
| title_exact_search | Equilibrium states in ergodic theory |
| title_full | Equilibrium states in ergodic theory Gerhard Keller |
| title_fullStr | Equilibrium states in ergodic theory Gerhard Keller |
| title_full_unstemmed | Equilibrium states in ergodic theory Gerhard Keller |
| title_short | Equilibrium states in ergodic theory |
| title_sort | equilibrium states in ergodic theory |
| work_keys_str_mv | AT kellergerhard equilibriumstatesinergodictheory |