Entropy in Dynamical Systems

Language: English

Published by Cambridge University Press, GB, 2011

0521888859 / 9780521888851

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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.

Seller Inventory # LU-9780521888851

Title
Entropy in Dynamical Systems
Author
Tomasz Downarowicz
Publisher
Cambridge University Press, GB
Publication year
2011
Condition
New
Binding
Hardback
Language
English
ISBN 10
0521888859
ISBN 13
9780521888851
Edition
Illustrated.
Item weight
690 grams
Dimensions
15.24 x 2.69 x 22.86 cm

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