Annals of Mathematics · 2002 · 55 citations · 9 references
Natural SciencesMathematicsDynamical SystemsRepresentation TheoryStochastic ProcessesGroup TheoryMarkov ProcessesGeneratorsMeasure-preserving Transformation
for i = 1,...,m, and set A = {−m,..., −1,1,...,m}. We also have the action Fm on L1(X,ν), defined by Tgϕ = ϕ ◦ Tg−1, g ∈ Fm. Consider the set WA of all finite words over the alphabet A:
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ON THE MAXIMAL ERGODIC THEOREM
E. M. Stein · Proceedings of the National Academy of Sciences · 1961 · 119 citations · Full text
A generalization of Birkhoff's pointwise ergodic theorem
Amos Nevo, Elias M. Stein · Acta Mathematica · 1994 · 78 citations · Full text