Cubic ergodic averages for actions of amenable groups

Mathematics – Dynamical Systems

Scientific paper

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13 pages

Scientific paper

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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