| 书目名称 | Dynamical Systems II | | 副标题 | Ergodic Theory with | | 编辑 | Ya. G. Sinai | | 视频video | | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 19891st edition | | 关键词 | dynamical systems; ergodic theory; ergodicity; mechanics; mixing; statistical mechanics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-06788-8 | | isbn_ebook | 978-3-662-06788-8Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 1989 |
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发表于 2025-3-21 19:04:09
