<h3>MA5016 ERGODIC THEORY  Course Content:</h3>
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<h4>Course Details</h4>
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.
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<h4>Course References:</h4>
Text Books:<br>
 
1. Peter Walters -- An Introduction to Ergodic Theory, Springer, ISBN 978-0-387-95152-2<br>
2. Eli Glasner " Ergodic Theory via Joinings, AMS, ISBN-10: 0-8218-3372-3<br>
3. Ergodic Theory �" Hanfeng Li and David Kerr, online book.<br>
 
Reference Books: Online Lecture Notes -- <br>
 
1. Jesse Peterson Vanderbilt University " Ergodic Theory<br>
2. Blog/Course Notes of Terrence Tao " Ergodic Theory