Entropy in Dynamical Systems - Info and Reading Options
By Tomasz Downarowicz
"Entropy in Dynamical Systems" was published by Cambridge University Press in 2011 - Cambridge, it has 391 pages and the language of the book is English.
“Entropy in Dynamical Systems” Metadata:
- Title: Entropy in Dynamical Systems
- Author: Tomasz Downarowicz
- Language: English
- Number of Pages: 391
- Publisher: Cambridge University Press
- Publish Date: 2011
- Publish Location: Cambridge
“Entropy in Dynamical Systems” Subjects and Themes:
- Subjects: Textbooks - Topological dynamics - MATHEMATICS / General - Topological entropy - Entropy
Edition Specifications:
- Pagination: xii, 391 pages ;
Edition Identifiers:
- The Open Library ID: OL25001930M - OL16114189W
- Online Computer Library Center (OCLC) ID: 694616470
- Library of Congress Control Number (LCCN): 2010050336
- ISBN-13: 9780521888851
- All ISBNs: 9780521888851
AI-generated Review of “Entropy in Dynamical Systems”:
"Entropy in Dynamical Systems" Table Of Contents:
- 1- Machine generated contents note: Introduction; Part I. Entropy in Ergodic Theory: 1. Shannon information and entropy; 2. Dynamical entropy of a process; 3. Entropy theorems in processes; 4. Kolmogorov-Sinai entropy; 5. The ergodic law of series; Part II. Entropy in Topological Dynamics: 6. Topological entropy; 7. Dynamics in dimension zero; 8. The entropy structure; 9. Symbolic extensions; 10. A touch of smooth dynamics; Part III. Entropy Theory for Operators: 11. Measure theoretic entropy of stochastic operators; 12. Topological entropy of a Markov operator; 13. Open problems in operator entropy; Appendix A. Toolbox; Appendix B. Conditional S-M-B; List of symbols; References; Index.
"Entropy in Dynamical Systems" Description:
The Open Library:
"This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theorem, the Krieger Generator Theorem and, among the newest developments, the ergodic law of series. In Part II, after an expanded exposition of classical topological entropy, the book addresses symbolic extension entropy. It offers deep insight into the theory of entropy structure and explains the role of zero-dimensional dynamics as a bridge between measurable and topological dynamics. Part III explains how both measure-theoretic and topological entropy can be extended to operators on relevant function spaces. Intuitive explanations, examples, exercises and open problems make this an ideal text for a graduate course on entropy theory. More experienced researchers can also find inspiration for further research"--
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