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Topological dynamics and applications - Robert Ellis

9780821806081
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Title
Topological dynamics and applications - a volume in honor of Robert Ellis : proceedings of a conference in honor of the retirement of Robert Ellis, April 5-6, 1995, University of Minnesota
Author
Robert Ellis
format
Paperback / softback
Publisher
American Mathematical Society
Language
English
UK Publication Date
19971230

This book is a very readable exposition of the modern theory of topological dynamics and presents diverse applications to such areas as ergodic theory, combinatorial number theory and differential equations. There are three parts: the abstract theory of topological dynamics is discussed, including a comprehensive survey by Furstenberg and Glasner on the work and influence of R. Ellis (presented in book form for the first time are new topics in the theory of dynamical systems, such as weak almost-periodicity, hidden eigenvalues, a natural family of factors and topological analogues of ergodic decomposition); the power of abstract techniques is demonstrated by giving a very wide range of applications to areas of ergodic theory, combinatorial number theory, random walks on groups and others; and, applications to non-autonomous linear differential equations are shown. Exposition on recent results about Floquet theory, bifurcation theory and Lyapanov exponents is given.

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Type
BOOK
Keyword Index
Topological dynamics - Congresses.
Country of Publication
Rhode Island
Number of Pages
334

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