1.

Record Nr.

UNINA9910817171303321

Titolo

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 / / M.G. Nerurkar, D.P. Dokken, D.B. Ellis, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1998]

©1998

ISBN

0-8218-7807-7

0-8218-0608-4

Descrizione fisica

1 online resource (348 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 215 , 0271-4132

Disciplina

514/.322

Soggetti

Topological dynamics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Contents --  Preface --  Part I. Topological Dynamics: Abstract Theory --  Robert Ellis and the algebra of dynamical systems --  Weak mixing and pure weak mixing minimal flows --  A natural family of factors for minimal flows --  Topological ergodic decomposition and homogeneous flows --  On the proximal and regionally proximal relation of an extension between minimal flows --  Almost equicontinuity and the enveloping semigroup --  Some universal constructions in abstract topological dynamics --  Weakly almost periodic flows and hidden eigenvalues --  Enveloping linear maps --  An overview of the construction of suspension flows using continuous cocycles --  Suspensions, inheritance, and flows on homogeneous spaces --  On the lifting of transformation semigroups --  Part II. Applications and Other Dynamical Results --  Idempotent measures associated to a locally compact topological group --  Another proof of Moore's ergodicity theorem for SL(2, R) --  Multiple recurrence and doubly minimal systems --  Subset dynamics and van der Waerden's theorem --  Recurrence for semigroup actions and a non-commutative Schur theorem --  A note on LivÅ¡ic's periodic point theorem --  A zero-one law for dynamical properties --  Residuality and orbit equivalence --  Uncountably many Vershik-inequivalent group actions



of equal entropy --  Part III. Applications to Differential Equations --  Positive exponents for a dense set of continuous SL(2, R) valued cocycles which arise as solutions to strongly accessible linear differential systems --  Topological dynamics and differential equations --  An ergodic and topological approach to almost periodic bidimensional linear systems --  An application of topological dynamics to bifurcation theory.