Recurrence in Topological Dynamics

Recurrence in Topological Dynamics
Author :
Publisher : Springer Science & Business Media
Total Pages : 292
Release :
ISBN-10 : 0306455501
ISBN-13 : 9780306455506
Rating : 4/5 (506 Downloads)

Book Synopsis Recurrence in Topological Dynamics by : Ethan Akin

Download or read book Recurrence in Topological Dynamics 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. 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.


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