Intuitive proofs of Ergodic Theorems

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Microsoft Research
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Published on ● Video Link: https://www.youtube.com/watch?v=kou4YeKJIEI


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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



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