Recurrence in Topological Dynamics
Download or Read eBook Recurrence in Topological Dynamics PDF written by Ethan Akin and published by Springer Science & Business Media. This book was released on 1997-07-31 with total page 292 pages. Available in PDF, EPUB and Kindle.
Author | : Ethan Akin |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 1997-07-31 |
ISBN-10 | : 0306455501 |
ISBN-13 | : 9780306455506 |
Rating | : 4/5 (01 Downloads) |
Book Synopsis Recurrence in Topological Dynamics by : Ethan Akin
Book excerpt: This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory, but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.