Recurrence in Topological Dynamics : Furstenberg Families and Ellis Actions /

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 ela...

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Bibliographic Details
Main Author: Akin, Ethan
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Springer US, 1997.
Series:University series in mathematics (Van Nostrand Reinhold Company)
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (xi, 265 pages)
ISBN:9781475726688 (electronic bk.)
1475726686 (electronic bk.)