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

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We give a short proof of a strengthening of the Maximal Ergodic Theorem which also immediately yields the Pointwise Ergodic Theorem.
Published at http://dx.doi.org/10.1214/074921706000000266 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Dynamical Systems, 37A30 (Primary) 37A05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/115361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608251
 http://arxiv.org/abs/math/0608251
 IMS Lecture Notes--Monograph Series 2006, Vol. 48, 248-251
 doi:10.1214/074921706000000266

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