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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9780521888851
eBay Product ID (ePID)
106455801
Product Key Features
Author
Tomasz Downarowicz
Publication Name
Entropy in Dynamical Systems
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
404 Pages
Dimensions
Item Height
235mm
Item Width
160mm
Item Weight
690g
Additional Product Features
Title_Author
Tomasz Downarowicz
Series Title
New Mathematical Monographs
Country/Region of Manufacture
United Kingdom
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