To install click the Add extension button. That's it.

The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.

Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Grigorievskiy
I use WIKI 2 every day and almost forgot how the original Wikipedia looks like.
Live Statistics
English Articles
Improved in 24 Hours
Added in 24 Hours
What we do. Every page goes through several hundred of perfecting techniques; in live mode. Quite the same Wikipedia. Just better.

Maximal ergodic theorem

From Wikipedia, the free encyclopedia

The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics.

Suppose that is a probability space, that is a (possibly noninvertible) measure-preserving transformation, and that . Define by

Then the maximal ergodic theorem states that

for any λ ∈ R.

This theorem is used to prove the point-wise ergodic theorem.

YouTube Encyclopedic

  • 1/3
    55 108
    12 995
  • ✪ (ML 18.2) Ergodic theorem for Markov chains
  • ✪ Terence Tao, Failure of the pointwise ergodic theorem on the free group at the L1 endpoint
  • ✪ Amos Nevo: Representation theory, effective ergodic theorems, and applications - Lecture 1



  • Keane, Michael; Petersen, Karl (2006), "Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem", Institute of Mathematical Statistics Lecture Notes - Monograph Series, Institute of Mathematical Statistics Lecture Notes - Monograph Series, 48: 248–251, arXiv:math/0004070, doi:10.1214/074921706000000266, ISBN 0-940600-64-1.
This page was last edited on 20 October 2019, at 18:56
Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.