Restricted Orbit Equivalence for Actions of Discrete Amenable Groups - Couverture rigide

Kammeyer, Janet Whalen; Rudolph, Daniel J.

Couverture rigide

ISBN 10 : 0521807956 ISBN 13 : 9780521807951

Editeur : Cambridge University Press, 2002

Synopsis

This 2002 title offers a broad investigative tool in ergodic theory and measurable dynamics.

A propos du livre

Présentation de l'éditeur

This 2002 monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's Isomorphism theory, Kakutani Equivalence theory and a list of others. By putting such restrictions in an axiomatic framework, a general approach is developed that encompasses all these examples simultaneously and gives insight into how to seek further applications. The work is placed in the context of discrete amenable group actions where time is not required to be one-dimensional, making the results applicable to a much wider range of problems and examples.

Revue de presse

Review of the hardback: '... this profound book ... gives an attractive overview and backward look at the restricted orbit equivalence theory for single transformations and other 'small' groups.' Zentralblatt für Mathematik

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2002
• Langue: anglais
• ISBN 10: 0521807956
• ISBN 13: 9780521807951
• Reliure: Relié
• Nombre de pages: 208
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France