 254A: Topics in Ergodic Theory by Terence Tao

Author course overview: terrytao.wordpress.com/2008/01/08/254a-lecture-1-overview/

Lecture9, Ergodicity, dated4February2008: terrytao.wordpress.com/2008/02/04/254a-lecture-9-ergodicity/

Lecture8, The mean ergodic theorem, dated30January2008: terrytao.wordpress.com/2008/01/30/254a-lecture-8-the-mean-ergodic-theorem/

Cited passages: Lecture9, Theorem2 and Remark3, pointwise ergodic theorem and norm convergence; Theorem3, characterizations of ergodicity. This is the author's expository lecture series; new mathematical examples in the concept articles are calculated explicitly. Exercises and exams are not being solved.