Ergodic Theory via Joinings

Released on by Eli Glasner
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  • Ergodic Theory via Joinings Book Detail

  • Author : Eli Glasner
  • Release Date : 2015-01-09
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 402
  • ISBN 13 : 1470419513
  • File Size : 62,62 MB
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Ergodic Theory via Joinings by Eli Glasner PDF Summary

Book Description: This book introduces modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems. This approach has proved to be fruitful in many recent works, and this is the first time that the entire theory is presented from a joining perspective. Another new feature of the book is the presentation of basic definitions of ergodic theory in terms of the Koopman unitary representation associated with a dynamical system and the invariant mean on matrix coefficients, which exists for any acting groups, amenable or not. Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group. The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.

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