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Recurrence in Topological Dynamics
Language: en
Pages: 292
Authors: Ethan Akin
Categories: Mathematics
Type: BOOK - Published: 1997-07-31 - Publisher: Springer Science & Business Media

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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 s
Topological Dynamics
Language: en
Pages: 184
Authors: Walter Helbig Gottschalk
Categories: Mathematics
Type: BOOK - Published: 1955-01-01 - Publisher: American Mathematical Soc.

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Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this
Recurrence in Ergodic Theory and Combinatorial Number Theory
Language: en
Pages: 216
Authors: Harry Furstenberg
Categories: Mathematics
Type: BOOK - Published: 2014-07-14 - Publisher: Princeton University Press

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Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying th
Topological Dynamical Systems
Language: en
Pages: 516
Authors: Jan Vries
Categories: Mathematics
Type: BOOK - Published: 2014-01-31 - Publisher: Walter de Gruyter

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There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills th
Recurrence in Topological Dynamics
Language: en
Pages: 271
Authors: Ethan Akin
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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In the long run of a dynamical system, after transient phenomena have passed away, what remains is recurrence. An orbit is recurrent when it returns repeatedly