Institute of Mathematical Statistics Lecture Notes - Monograph Series

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

Michael Keane and Karl Petersen

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Abstract

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

Chapter information

Source
Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy, eds., Dynamics & Stochastics: Festschrift in honor of M. S. Keane (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 248-251

Dates
First available: 28 November 2007

Permanent link to this document
http://projecteuclid.org/euclid.lnms/1196285825

Mathematical Reviews number (MathSciNet)
MR2306205

Digital Object Identifier
doi:10.1214/074921706000000266

Subjects
Primary: primary 37A30
Secondary: 37A05: Measure-preserving transformations

Keywords
maximal ergodic theorem pointwise ergodic theorem

Citation

Keane, Michael; Petersen, Karl. Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem. Dynamics & Stochastics, 248--251, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006. doi:10.1214/074921706000000266. http://projecteuclid.org/euclid.lnms/1196285825.


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