Cubic ergodic averages for actions of amenable groups

2008/12/10 by John T. Griesmer, Griesmer, John T.
Mathematics · #37A05 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37A05

paper · pdf · doi:10.48550/arxiv.0812.2017

13 pages

arxiv created 2008/12/10 · arxiv updated 2009/12/01

Abstract

We unify and extend some previous results about cubic ergodic averages and sets of positive density in products of groups. This provides a joint generalization of earlier work of the author in the case of two commuting actions of an amenable group, and of Q. Chu's recent result on a a finite number of commuting transformations.

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