Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem
Michael Keane, Karl Petersen
Abstract
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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Primary Subjects: primary 37A30
Secondary Subjects: 37A05
Keywords: maximal ergodic theorem; pointwise ergodic theorem
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285825
Mathematical Reviews (MathSciNet):
MR2306205
Digital Object Identifier: doi:10.1214/074921706000000266
Institute of Mathematical Statistics Lecture Notes - Monograph Series
