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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115361We 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)Dynamical Systems37A30 (Primary) 37A05 (Secondary)Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theoremtext