Ergodic Theory and Harmonic Analysis: Proceedings of the 1993 Alexandria Conference
by Edited by Karl E. Petersen , Ibrahim SalamaFormat: Paperback
Pub. Date: 1995-01-27
Publisher(s): Cambridge University Press
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Summary
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.
Table of Contents
| Part I. Survey Papers: Pointwise ergodic rheorems via harmonic analysis Joseph Rosenblatt and Mate Wierd | |
| Harmonic analysis in rigidity theory Ralf Spatzier | |
| Some properties and applications of joinings in ergodic theory Jean-Paul Thouvenot | |
| Part II. Research Papers: Ergodic Baker's transformations Chris Bose and P. Grezegorczyk | |
| Almost sure convergence of projections to self-adjoint operators in L2(0,1) Lech Ciach, Ryszard Jajte and Adam Paskievicz | |
| Quasi-uniform limits of uniformly recurrent points Tomasz Downarowicz | |
| Strictly nonpointwise Markov operators and weak mixing Tomasz Downarowicz | |
| Two techniques in multiple recurrence Alan Forrest | |
| For Bernoulli transformations the smallest natural family of factors consists of all factors Eli Glasner | |
| Topological entropy of extensions Eli Glasner and Benjamin Weiss | |
| Functional equations associated with the spectral properties of compact group extensions Geoff Goodson | |
| Multiple recurrence for nilpotent groups of affine transformations of the 2-torus Daniel A. Hendrick | |
| A remark on isometric extensions in relatively independent joinings Emmanuel Lesigne | |
| Three results in recurrence Randall McCutcheon | |
| Calculation of the limit in the return times theorem for Dunford-Schwartz operators James Olsen | |
| Eigenfunctions of TxS and the Conze-Lesigne algebra Daniel J. Rudolph. |
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