Ergodic theory and its connections with harmonic analysis

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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. 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.

Read more Read less. From the Back Cover Ergodic theory is a field that is lively on its own and also in its interactions with other branches of mathematics and science.

MSRI | Ergodic theory and additive combinatorics

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Get to Know Us. English Choose a language for shopping. Another example, where such an interplay occurs, is the extremely challenging problem of Paul Erdos related to the local properties of the Lebesgue measure on the real line. He raised the following question about 40 years ago: Does there exist an infinite set S such that every set of positive measure contains an affine copy of S?

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The solution of this problem would have a large impact not only on measure theory, but also on combinatorics and on many other fields of mathematics. Geometric measure theory. Mathe, Dr A. University of Warwick. Postdoc Research Fellowship.

Topics in Harmonic Analysis and Ergodic Theory

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