Entropy in Dynamical Systems - Couverture rigide

Downarowicz, Tomasz

Couverture rigide

ISBN 10 : 0521888859 ISBN 13 : 9780521888851

Editeur : Cambridge University Press, 2011

Synopsis

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.

A propos du livre

À propos de l'auteur

Tomasz Downarowicz is Full Professor of Mathematics at Wroclaw University of Technology, Poland.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 0521888859
• ISBN 13: 9780521888851
• Reliure: Relié
• Nombre de pages: 404
• Coordonnées du fabricant: Cambridge University Press; https://www.cambridge.org/; ; Via Honduras,15; Pomezia; Italia; 71; Italie