Published February 21, 2017

Hanfeng Li has co-authored a new book with David Kerr,
entitled, Ergodic Theory: Independence and Dichotomies. The
book provides an introduction to the ergodic theory and topological
dynamics of actions of countable groups.

The book is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advanced material includes Popa's cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy.

**See
Hanfeng Li's profile page.**

**Ergodic Theory: Independence and Dichotomies is
available on Amazon.**

** Excerpts from back cover: ** The structure of
the book is designed to be flexible enough to serve a variety of
readers. The discussion of dynamics is developed from scratch
assuming some rudimentary functional analysis, measure theory, and
topology, and parts of the text can be used as an introductory
course. Researchers in ergodic theory and related areas will
also find the book valuable as a reference.

**Series:**Springer Monographs in Mathematics

**Hardcover:**431 pages**Publisher:**Springer; 1st ed. 2016 edition (February 10, 2017)**Language:**English**ISBN-10:**3319498452**ISBN-13:**978-3319498454**Product Dimensions:**6.1 x 1 x 9.2 inches