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Topological Dynamics and Applications

About this Title

M. G. Nerurkar, D. P. Dokken and D. B. Ellis, Editors

Publication: Contemporary Mathematics
Publication Year: 1998; Volume 215
ISBNs: 978-0-8218-0608-1 (print); 978-0-8218-7807-1 (online)
DOI: https://doi.org/10.1090/conm/215
MathSciNet review: 1603125

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Table of Contents

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Front/Back Matter

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Part I. Topological Dynamics: Abstract Theory

• H. Furstenberg and E. Glasner – Robert Ellis and the algebra of dynamical systems [MR 1603129]
• J. Auslander – Weak mixing and pure weak mixing minimal flows [MR 1603133]
• E. Glasner, M. Mentzen and A. Siemaszko – A natural family of factors for minimal flows [MR 1603137]
• E. Akin and E. Glasner – Topological ergodic decomposition and homogeneous flows [MR 1603141]
• D. Penazzi – On the proximal and regionally proximal relation of an extension between minimal flows [MR 1603145]
• E. Akin, J. Auslander and K. Berg – Almost equicontinuity and the enveloping semigroup [MR 1603149]
• V. Pestov – Some universal constructions in abstract topological dynamics [MR 1603153]
• T. Downarowicz – Weakly almost periodic flows and hidden eigenvalues [MR 1603157]
• E. Akin – Enveloping linear maps [MR 1603161]
• H. Keynes, K. Madden, N. Markley and M. Sears – An overview of the construction of suspension flows using continuous cocycles [MR 1603165]
• D. Ellis – Suspensions, inheritance, and flows on homogeneous spaces [MR 1603169]
• H. Ikeshoji and T. Wu – On the lifting of transformation semigroups [MR 1603173]

Part II. Applications and Other Dynamical Results

• D. Dokken – Idempotent measures associated to a locally compact topological group [MR 1603177]
• S. Adams – Another proof of Moore’s ergodicity theorem for $\textrm {SL}(2,\textbf {R})$ [MR 1603181]
• B. Weiss – Multiple recurrence and doubly minimal systems [MR 1603185]
• H. Furstenberg and E. Glasner – Subset dynamics and van der Waerden’s theorem [MR 1603189]
• V. Bergelson and R. McCutcheon – Recurrence for semigroup actions and a non-commutative Schur theorem [MR 1603193]
• Z. Coelho, W. Parry and R. Williams – A note on Livšic’s periodic point theorem [MR 1603197]
• Eli Glasner and Jonathan L. King – A zero-one law for dynamical properties [MR 1603201]
• D. Rudolph – Residuality and orbit equivalence [MR 1603042]
• J. Feldman – Uncountably many Vershik-inequivalent group actions of equal entropy [MR 1603046]

Part III. Applications to Differential Equations

• M. Nerurkar – Positive exponents for a dense set of continuous $\textrm {SL}(2,\textbf {R})$ valued cocycles which arise as solutions to strongly accessible linear differential systems [MR 1603050]
• G. Sell, W. Shen and Y. Yi – Topological dynamics and differential equations [MR 1603054]
• S. Novo and R. Obaya – An ergodic and topological approach to almost periodic bidimensional linear systems [MR 1603058]
• R. Johnson – An application of topological dynamics to bifurcation theory [MR 1603062]