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Viser: Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems Vital Source e-bog
Yves Coud?ne
(2016)
Ergodic Theory and Dynamical Systems Vital Source e-bog
Yves Coudène
(2016)
Ergodic Theory and Dynamical Systems Vital Source e-bog
Yves Coudène
(2016)
Ergodic Theory and Dynamical Systems
Yves Coudène og Reinie Erné
(2016)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (November 2016)
- ISBN: 9781447172871
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- Vital Source 90 day rentals (dynamic pages)
- Udgiver: Springer Nature (November 2016)
- ISBN: 9781447172871R90
Bookshelf online: 90 dage fra købsdato.
Bookshelf appen: 90 dage fra købsdato.
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Detaljer om varen
- Vital Source 180 day rentals (dynamic pages)
- Udgiver: Springer Nature (November 2016)
- ISBN: 9781447172871R180
Bookshelf online: 180 dage fra købsdato.
Bookshelf appen: 180 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
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Detaljer om varen
- 1. Udgave
- Paperback
- Udgiver: Springer London, Limited (November 2016)
- Forfattere: Yves Coudène og Reinie Erné
- ISBN: 9781447172857
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.
Part I Ergodic Theory.- The Mean Ergodic Theorem.- The Pointwise Ergodic Theorem.- Mixing.- The Hopf Argument.-
Part II Dynamical Systems.- Topological Dynamics.- Nonwandering.- Conjugation.- Linearization.- A Strange Attractor.-
Part III Entropy Theory.- Entropy.- Entropy and Information Theory.- Computing Entropy.-
Part IV Ergodic Decomposition.- Lebesgue Spaces and Isomorphisms.- Ergodic Decomposition.- Measurable Partitions and -Algebras.-
Part V Appendices.- Weak Convergence.- Conditional Expectation.- Topology and Measures.- References.