An Introduction to the Kolmogorov-Bernoulli Equivalence

• Main Authors: Ponce, Gabriel (Author, http://id.loc.gov/vocabulary/relators/aut), Varão, Régis (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Mathematics,
• Subjects: Dynamics.; Ergodic theory.; Measure theory.; Functional analysis.; Dynamical Systems and Ergodic Theory.; Measure and Integration.; Functional Analysis.

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field. Starting with a crash course on ergodic theory, it uses the class of ergodic automorphisms of the two t...

Table of Contents:

• Introduction
• Preliminaries in Ergodic Theory
• Kolmogorov-Bernoulli Equivalence for Ergodic Automorphism of T²
• Hyperbolic Structures and the Kolmogorov-Bernoulli Equivalence
• State of the Art
• Index.