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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY, USA :
Cambridge University Press,
1998.
|
| Schriftenreihe: | London Mathematical Society student texts ;
42. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (ix, 178 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 169-173) and index. |
| ISBN: | 9781107089044 1107089042 9781107359987 1107359988 |
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| spelling | Keller, Gerhard, 1954- https://id.oclc.org/worldcat/entity/E39PCjGRR4bGqXpK8PgTvKWpWC http://id.loc.gov/authorities/names/n97103240 Equilibrium states in ergodic theory / Gerhard Keller. Cambridge ; New York, NY, USA : Cambridge University Press, 1998. 1 online resource (ix, 178 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 42 Includes bibliographical references (pages 169-173) and index. Print version record. 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. Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Théorie ergodique. Dynamique différentiable. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differentiable dynamical systems fast Ergodic theory fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Gleichgewicht gnd http://d-nb.info/gnd/4121372-5 Ergodiciteit. gtt Evenwichten. gtt Théorie ergodique. ram Dynamique différentiabe. ram has work: Equilibrium states in ergodic theory (Text) https://id.oclc.org/worldcat/entity/E39PCFK6DPJhkWxdj6y73KPtgC https://id.oclc.org/worldcat/ontology/hasWork Print version: Keller, Gerhard, 1954- Equilibrium states in ergodic theory. Cambridge ; New York, NY, USA : Cambridge University Press, 1998 0521594200 (DLC) 97041879 (OCoLC)37843743 London Mathematical Society student texts ; 42. http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570399 Volltext |
| spellingShingle | Keller, Gerhard, 1954- Equilibrium states in ergodic theory / London Mathematical Society student texts ; Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Théorie ergodique. Dynamique différentiable. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differentiable dynamical systems fast Ergodic theory fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Gleichgewicht gnd http://d-nb.info/gnd/4121372-5 Ergodiciteit. gtt Evenwichten. gtt Théorie ergodique. ram Dynamique différentiabe. ram |
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| 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 |
| topic | Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Théorie ergodique. Dynamique différentiable. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differentiable dynamical systems fast Ergodic theory fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Gleichgewicht gnd http://d-nb.info/gnd/4121372-5 Ergodiciteit. gtt Evenwichten. gtt Théorie ergodique. ram Dynamique différentiabe. ram |
| topic_facet | Ergodic theory. Differentiable dynamical systems. Théorie ergodique. Dynamique différentiable. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Differentiable dynamical systems Ergodic theory Ergodentheorie Gleichgewicht Ergodiciteit. Evenwichten. Dynamique différentiabe. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570399 |
| work_keys_str_mv | AT kellergerhard equilibriumstatesinergodictheory |