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Ergodic Theory and Harmonic Analysis : Proceedings of the 1993 Alexandria Conference - Karl E. Petersen

Ergodic Theory and Harmonic Analysis

Proceedings of the 1993 Alexandria Conference

By: Karl E. Petersen (Editor), Ibrahim A. Salama (Editor), N. J. Hitchin (Editor)

Paperback Published: 3rd July 1995
ISBN: 9780521459990
Number Of Pages: 448

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Ergodic theory is a field that is lively 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 in both directions. The 1993 Alexandria Conference explored many of these connections as they were developing. The three survey papers in this book describe the relationships of almost everywhere convergence (J. Rosenblatt and M. Wierdl), rigidity theory (R. Spatzier), and the theory of joinings (J.-P. Thouvenot). These papers present the background of each area of interaction, the most outstanding recent results, and the currently promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas. The book also includes thirteen research papers that describe recent work related to the theme of the conference: several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder discuss almost everywhere convergence and a variety of other topics in dynamics.

Survey Papers: Pointwise ergodic rheorems via harmonic analysis
Harmonic analysis in rigidity theory
Some properties and applications of joinings in ergodic theory
Research Papers: Ergodic Baker's transformations
Almost sure convergence of projections to self-adjoint operators in L2(0,1)
Quasi-uniform limits of uniformly recurrent points
Strictly nonpointwise Markov operators and weak mixing
Two techniques in multiple recurrence
For Bernoulli transformations the smallest natural family of factors consists of all factors
Topological entropy of extensions
Functional equations associated with the spectral properties of compact group extensions
Multiple recurrence for nilpotent groups of affine transformations of the 2-torus
A remark on isometric extensions in relatively independent joinings
Three results in recurrence
Calculation of the limit in the return times theorem for Dunford-Schwartz operators
Eigenfunctions of TxS and the Conze-Lesigne algebra
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521459990
ISBN-10: 0521459990
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 448
Published: 3rd July 1995
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.42  x 2.57
Weight (kg): 0.61

Earn 154 Qantas Points
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