Description

Book Synopsis
Offers an introduction to 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. This is the first time that the entire theory has been presented from a joining perspective.

Table of Contents
  • Introduction
  • General group actions
  • Topological dynamics
  • Dynamical systems on Lebesgue spaces
  • Ergodicity and mixing properties
  • Invariant measures on topological systems
  • Spectral theory
  • Joinings
  • Some applications of joinings
  • Quasifactors Isometric and weakly mixing extensions
  • The Furstenberg-Zimmer structure theorem
  • Host's theorem
  • Simple systems and their self-joinings
  • Kazhdan's property and the geometry of $M_{\Gamma}(\mathbf{X})$
  • Entropy theory for $\mathbb{Z}$-systems
  • Entropy
  • Symbolic representations
  • Constructions
  • The relation between measure and topological entropy
  • The Pinsker algebra, CPE and zero entropy systems
  • Entropy pairs
  • Krieger's and Ornstein's theorems
  • Prerequisite background and theorems
  • Bibliography
  • Index of symbols
  • Index of terms

Ergodic Theory via Joinings

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    £101.70

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    RRP £113.00 – you save £11.30 (10%)

    Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

    A Paperback by Eli Glasner

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      View other formats and editions of Ergodic Theory via Joinings by Eli Glasner

      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2015 12:00:00 AM
      ISBN13: 9781470419516, 978-1470419516
      ISBN10: 1470419513

      Description

      Book Synopsis
      Offers an introduction to 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. This is the first time that the entire theory has been presented from a joining perspective.

      Table of Contents
      • Introduction
      • General group actions
      • Topological dynamics
      • Dynamical systems on Lebesgue spaces
      • Ergodicity and mixing properties
      • Invariant measures on topological systems
      • Spectral theory
      • Joinings
      • Some applications of joinings
      • Quasifactors Isometric and weakly mixing extensions
      • The Furstenberg-Zimmer structure theorem
      • Host's theorem
      • Simple systems and their self-joinings
      • Kazhdan's property and the geometry of $M_{\Gamma}(\mathbf{X})$
      • Entropy theory for $\mathbb{Z}$-systems
      • Entropy
      • Symbolic representations
      • Constructions
      • The relation between measure and topological entropy
      • The Pinsker algebra, CPE and zero entropy systems
      • Entropy pairs
      • Krieger's and Ornstein's theorems
      • Prerequisite background and theorems
      • Bibliography
      • Index of symbols
      • Index of terms

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