MA5016 ERGODIC THEORY Course Content:

Course Details

Basic Concepts " Ergodicity, Freeness, Poincare Recurrence, Almost Periodicity, Weak mixing, Mixing; Structure Theorems: Furstenberg-Zimmer structure theorem, Hilbert modules, Extensions; Amenablity: Ameanble groups, Ergodic Theorems, Quasi Tilings, Rokhlin Lemma. Borel Equivalence Relations: Connes-Feldman-Wiess Theorem.

Course References:

Text Books:
1. Peter Walters -- An Introduction to Ergodic Theory, Springer, ISBN 978-0-387-95152-2
2. Eli Glasner " Ergodic Theory via Joinings, AMS, ISBN-10: 0-8218-3372-3
3. Ergodic Theory �" Hanfeng Li and David Kerr, online book.
Reference Books: Online Lecture Notes --
1. Jesse Peterson Vanderbilt University " Ergodic Theory
2. Blog/Course Notes of Terrence Tao " Ergodic Theory