English

Cubic ergodic averages for actions of amenable groups

Dynamical Systems 2008-12-11 v1

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.

Keywords

Cite

@article{arxiv.0812.2017,
  title  = {Cubic ergodic averages for actions of amenable groups},
  author = {John T. Griesmer},
  journal= {arXiv preprint arXiv:0812.2017},
  year   = {2008}
}

Comments

13 pages

R2 v1 2026-06-21T11:50:33.623Z