Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem

Mathematics – Dynamical Systems

Scientific paper

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Published at http://dx.doi.org/10.1214/074921706000000266 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

10.1214/074921706000000266

We give a short proof of a strengthening of the Maximal Ergodic Theorem which
also immediately yields the Pointwise Ergodic Theorem.

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