Restricted Orbit Equivalence for Actions of Discrete Amenable Groups Cambridge Tracts in Mathematics Series
Langue : Anglais
Auteurs : Kammeyer Janet Whalen, Rudolph Daniel J.
This 2002 title offers a broad investigative tool in ergodic theory and measurable dynamics.
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.
1. Preface; 2. Definitions and examples; 3. The Ornstein–Weiss machinery; 4. Copying lemmas; 5. m-entropy; 6. m-joinings; 7. The equivalence theorem; 8. Appendix.
Date de parution : 02-2011
Ouvrage de 208 p.
15.2x22.9 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 41,94 €
Ajouter au panierDate de parution : 04-2002
Ouvrage de 208 p.
15.2x22.9 cm
Thème de Restricted Orbit Equivalence for Actions of Discrete... :
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