# Basic Ergodic Theory: Third Edition

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*M. G. Nadkarni*

A publication of Hindustan Book Agency

This is an introductory text on ergodic theory. The presentation
has a slow pace, and the book can be read by anyone with a
background in basic measure theory and metric topology. A new feature
of the book is that the basic topics of ergodic theory such as the
Poincaré recurrence lemma, induced automorphisms and Kakutani
towers, compressibility and E. Hopf's theorem, and the theorem of
Ambrose on representation of flows, are treated at the descriptive
set-theoretic level before their measure-theoretic or topological
versions are presented. In addition, topics centering around the
Glimm-Effros theorem, which have so far not found a place in texts on
ergodic theory, are discussed in this book.

The third edition has, among other improvements, a new chapter on additional
topics that include Liouville's theorem of classical mechanics, the basics of
Shannon Entropy and the Kolmogorov-Sinai theorem, and van der Waerden's theorem
on arithmetical progressions.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

#### Readership

Graduate students and research mathematicians interested in ergodic theory.