Intuitive proofs of Ergodic Theorems

Опубликовано 28 июля 2016, 23:03

Ergodic Theorems are widely used in dynamical systems and Probability Theory. In this expository lecture, I will present simple proofs of the Birkhoff Pointwise Ergodic Theorem and The Kingman Subadditive Ergodic Theorem following Katznelson-Weiss, Keane and Steele. I will try to present these proofs in an intuitive way, so that that they can be remembered. I will then describe applications to random walks on groups