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.
| ISBN: | 9780521888851 |
| Publication date: | 12th May 2011 |
| Author: | Tomasz Professor Downarowicz |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 404 pages |
| Series: | New Mathematical Monographs |
| Genres: |
Differential calculus and equations Nonlinear science |
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.
Entropy in Dynamical Systems features in the following genres: Differential calculus and equations, Nonlinear science
Entropy in Dynamical Systems is available in Hardback
Entropy in Dynamical Systems was written by Tomasz Professor Downarowicz and published by Cambridge University Press
Entropy in Dynamical Systems has 404 pages
Yes it is part of New Mathematical Monographs series
£80.10