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Descriptive Set Theory and Dynamical Systems

$70.00 ( ) USD

Part of London Mathematical Society Lecture Note Series

  • Editors:
  • M. Foreman, University of California, Irvine
  • A. S. Kechris, California Institute of Technology
  • A. Louveau, Centre National de la Recherche Scientifique (CNRS), Paris
  • B. Weiss, Hebrew University of Jerusalem
J. Aaronson, V. Bergelson, S. Bezuglyi, M. Foreman, E. Glasner, V. YA. Golodets, V. M. Kulagin, S. D. Sinel'shchikov, A. S. Kechris, A. B. Ramsay, B. Weiss
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  • Date Published: October 2013
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781107109360

$ 70.00 USD ( )
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About the Authors
  • In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This collection of survey papers by leading researchers covers a wide variety of recent developments in these subjects and their interconnections. Researchers and graduate students interested in either of these areas will find this volume to be an excellent introduction to problems and research directions arising from their interconnections.

    • Written by leading researchers in the fields of descriptive set theory and dynamical systems
    • Discusses the recent developments in these subjects and covers the possible interconnections between the two
    • Provides graduates and researchers in one of these areas with an introduction and guide to work done in the other
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    Product details

    • Date Published: October 2013
    • format: Adobe eBook Reader
    • isbn: 9781107109360
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. An overview of infinite ergodic theory J. Aaronson
    2. The multifarious Poincaré recurrence theorem V. Bergelson
    3. Groups of automorphisms of a measure space and weak equivalence of cocycles S. Bezuglyi
    4. A descriptive view of ergodic theory M. Foreman
    5. Structure theory as a tool in topological dynamics E. Glasner
    6. Orbit properties of pseudo-homeomorphism groups of a perfect Polish space and their cocycles V. YA. Golodets, V. M. Kulagin and S. D. Sinel'shchikov
    7. Descriptive dynamics A. S. Kechris
    8. Polish groupoids A. B. Ramsay
    9. A survey of generic dynamics B. Weiss.

  • Editors

    M. Foreman, University of California, Irvine

    A. S. Kechris, California Institute of Technology

    A. Louveau, Centre National de la Recherche Scientifique (CNRS), Paris

    B. Weiss, Hebrew University of Jerusalem

    Contributors

    J. Aaronson, V. Bergelson, S. Bezuglyi, M. Foreman, E. Glasner, V. YA. Golodets, V. M. Kulagin, S. D. Sinel'shchikov, A. S. Kechris, A. B. Ramsay, B. Weiss

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