Mathematics of Complexity and Dynamical Systems

2011 Edition
| Editors: Robert A. Meyers (Editor-in-Chief)

Isomorphism Theory in Ergodic Theory

  • Christopher Hoffman
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-1806-1_48

Article Outline

Glossary

Definition of the Subject

Introduction

Basic Transformations

Basic Isomorphism Invariants

Basic Tools

Isomorphism of Bernoulli Shifts

Transformations Isomorphic to Bernoulli Shifts

Transformations not Isomorphic to Bernoulli Shifts

Classifying the Invariant Measures of Algebraic Actions

Finitary Isomorphisms

Flows

Other Equivalence Relations

Non‐invertible Transformations

Factors of a Transformation

Actions of Amenable Groups

Future Directions

Bibliography

Keywords

Entropy Manifold Peris 
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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Christopher Hoffman
    • 1
  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA