English

Characteristic factors for commuting actions of amenable groups

Dynamical Systems 2014-02-18 v1

Abstract

We describe characteristic factors for certain averages arising from commuting actions of locally compact, second-countable, amenable groups. Under some ergodicity assumptions we use these factors to prove a form of multiple recurrence for three such actions.

Keywords

Cite

@article{arxiv.1402.3843,
  title  = {Characteristic factors for commuting actions of amenable groups},
  author = {Donald Robertson},
  journal= {arXiv preprint arXiv:1402.3843},
  year   = {2014}
}
R2 v1 2026-06-22T03:09:18.223Z