Ergodic theory and dynamical systems [Documento electrónico] / Yves Coudène
Language: eng - inglesa.Country: US - United States of America.Publication: London : Springer London, 2016Description: XIII, 190 p. 49 il.ISBN: 978-1-4471-7287-1.Series: UniversitextSubject - Topical Name: Sistemas dinâmicos diferenciais | Teoria ergódica Online Resources:Click here to access online| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL | Não Ficção | QA312.SPR FCT 97183 (Browse shelf) | 1 | Available |
Colocação: Online
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.
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