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Ergodic Theory and Harmonic Analysis

Ergodic Theory and Harmonic Analysis
Proceedings of the 1993 Alexandria Conference

£47.99

Part of London Mathematical Society Lecture Note Series

Joseph M. Rosenblatt, Máté Wierdl, R. J. Spatzier, J.-P. Thouvenot, C. J. Bose, P. Grezegorczyk, Lech Ciach, Ryszard Jajte, Adam Paskievicz, Tomasz Downarowicz, A. H. Forrest, Eli Glasner, Benjamin Weiss, Geoffrey Goodson, Daniel A. Hendrick, Emmanuel Lesigne, Randall McCutcheon, James H. Olsen, Daniel J. Rudolph
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  • Date Published: May 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521459990

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About the Authors
  • Ergodic theory is a field that is stimulating on its own, and also in its interactions with other branches of mathematics and science. In recent years, the interchanges with harmonic analysis have been especially noticeable and productive. This book contains survey papers describing the relationship of ergodic theory with convergence, rigidity theory and the theory of joinings. These papers present the background of each area of interaction, the most outstanding results and promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas. Thirteen related research papers describe the work; several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder deal with convergence and a variety of other topics in dynamics.

    • Lively and exciting area of mathematics
    • Well-written tutorial papers form the basis for this book
    • Perfect introduction to anyone embarking on research in this area
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    Product details

    • Date Published: May 1995
    • format: Paperback
    • isbn: 9780521459990
    • length: 448 pages
    • dimensions: 228 x 152 x 25 mm
    • weight: 0.609kg
    • availability: Available
  • Table of Contents

    Preface
    Part I. Survey Articles:
    1. Pointwise ergodic theorems via harmonic analysis Joseph M. Rosenblatt and Máté Wierdl
    2. Harmonic analysis in rigidity theory R. J. Spatzier
    3. Some properties and applications of joinings in ergodic theory J.-P. Thouvenot
    Part II. Research Papers:
    4. Ergodic baker's transformations C. J. Bose and P. Grezegorczyk
    5. Almost sure convergence of projections to self-adjoint operators in L2(0,1) Lech Ciach, Ryszard Jajte and Adam Paskievicz
    6. Quasi-uniform limits of uniformly recurrent points Tomasz Downarowicz
    7. Strictly nonpointwise Markov operators and weak mixing Tomasz Downarowicz
    8. Two techniques in multiple recurrence A. H. Forrest
    9. For Bernoulli transformations the smallest natural family of factors consists of all factors Eli Glasner
    10. Topological entropy of extensions Eli Glasner and Benjamin Weiss
    11. Functional equations associated with the spectral properties of compact group extensions Geoffrey Goodson
    12. Multiple recurrence for nilpotent groups of affine transformations of the 2-torus Daniel A. Hendrick
    13. A remark on isometric extensions in relatively independent joinings Emmanuel Lesigne
    14. Three results in recurrence Randall McCutcheon
    15. Calculation of the limit in the return times theorem for Dunford-Schwartz operators James H. Olsen
    16. Eigenfunctions of T x S and the Conze-Lesigne algebra Daniel J. Rudolph
    Conference program
    List of participants.

  • Editors

    Karl E. Petersen, University of North Carolina, Chapel Hill

    Ibrahim Salama, University of North Carolina, Greensboro

    Contributors

    Joseph M. Rosenblatt, Máté Wierdl, R. J. Spatzier, J.-P. Thouvenot, C. J. Bose, P. Grezegorczyk, Lech Ciach, Ryszard Jajte, Adam Paskievicz, Tomasz Downarowicz, A. H. Forrest, Eli Glasner, Benjamin Weiss, Geoffrey Goodson, Daniel A. Hendrick, Emmanuel Lesigne, Randall McCutcheon, James H. Olsen, Daniel J. Rudolph

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