English

Return times theorem for amenable groups

Dynamical Systems 2014-12-31 v2

Abstract

We extend Bourgain's return times theorem to arbitrary locally compact second countable amenable groups. The proof is based on a version of the Bourgain--Furstenberg--Katznelson--Ornstein orthogonality criterion.

Keywords

Cite

@article{arxiv.1301.1884,
  title  = {Return times theorem for amenable groups},
  author = {Pavel Zorin-Kranich},
  journal= {arXiv preprint arXiv:1301.1884},
  year   = {2014}
}

Comments

v2: 8 p., small corrections

R2 v1 2026-06-21T23:06:41.907Z