Dynamical Systems II: Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1989
|
| Schriftenreihe: | Encyclopaedia of Mathematical Sciences
2 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it |
| Beschreibung: | 1 Online-Ressource (IX, 284 p) |
| ISBN: | 9783662067888 9783662067901 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-662-06788-8 |
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| 650 | 4 | |a Cell aggregation / Mathematics | |
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| 650 | 4 | |a Statistical Physics, Dynamical Systems and Complexity | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
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| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| id | DE-604.BV042423382 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662067888 9783662067901 |
| issn | 0938-0396 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858799 |
| oclc_num | 859002841 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (IX, 284 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Encyclopaedia of Mathematical Sciences |
| spelling | Sinai, Ya. G. Verfasser aut Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics edited by Ya. G. Sinai Berlin, Heidelberg Springer Berlin Heidelberg 1989 1 Online-Ressource (IX, 284 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences 2 0938-0396 Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Statistical Physics, Dynamical Systems and Complexity Mathematik https://doi.org/10.1007/978-3-662-06788-8 Verlag Volltext |
| spellingShingle | Sinai, Ya. G. Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Statistical Physics, Dynamical Systems and Complexity Mathematik |
| title | Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics |
| title_auth | Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics |
| title_exact_search | Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics |
| title_full | Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics edited by Ya. G. Sinai |
| title_fullStr | Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics edited by Ya. G. Sinai |
| title_full_unstemmed | Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics edited by Ya. G. Sinai |
| title_short | Dynamical Systems II |
| title_sort | dynamical systems ii ergodic theory with applications to dynamical systems and statistical mechanics |
| title_sub | Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics |
| topic | Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Statistical Physics, Dynamical Systems and Complexity Mathematik |
| topic_facet | Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Statistical Physics, Dynamical Systems and Complexity Mathematik |
| url | https://doi.org/10.1007/978-3-662-06788-8 |
| work_keys_str_mv | AT sinaiyag dynamicalsystemsiiergodictheorywithapplicationstodynamicalsystemsandstatisticalmechanics |