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Ergodic Theory and Harmonic Analysis: Proceedings of the 1993 Alexandria
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Ergodic Theory and Harmonic Analysis: Proceedings of the 1993 Alexandria Conference Paperback - 1995

by Karl E. Petersen (Editor); Ibrahim Salama (Editor)


From the publisher

This volume contains articles that describe the connections between ergodic theory and convergence, rigidity theory, and the theory of joinings. These papers present the background of each area of interaction, the most outstanding recent results, and the currently promising lines of research. In the aggregate, they will provide a perfect introduction for anyone beginning research in one of these areas.

First line

It has been eighty-five years since Bohl [1909], Sierpinski [1910] and Weyl [1910] proved the now famous equidistribution theorem: if a is an irrational number then the sequence a, 2a, 3a . . . is uniformly distributed mod 1.

From the rear cover

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.

Details

  • Title Ergodic Theory and Harmonic Analysis: Proceedings of the 1993 Alexandria Conference
  • Author Karl E. Petersen (Editor); Ibrahim Salama (Editor)
  • Binding Paperback
  • Pages 448
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 1995-01-27
  • ISBN 9780521459990 / 0521459990
  • Weight 1.35 lbs (0.61 kg)
  • Dimensions 9 x 6.07 x 1.01 in (22.86 x 15.42 x 2.57 cm)
  • Library of Congress subjects Harmonic analysis - Congresses, Ergodic theory - Congresses
  • Library of Congress Catalog Number 94023778
  • Dewey Decimal Code 515.42
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