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OverviewThis 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. Full Product DetailsAuthor: Janet Whalen Kammeyer , Daniel J. Rudolph (University of Maryland, College Park)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 146 ISBN: 9780511549908ISBN 10: 0511549903 Publication Date: 04 August 2010 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of Contents1. 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.ReviewsReview 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 fur Mathematik Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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