English

Linear random walks on the torus

Dynamical Systems 2020-12-01 v2

Abstract

We prove a quantitative equidistribution result for linear random walks on the torus, similar to a theorem of Bourgain, Furman, Lindenstrauss and Mozes, but without any proximality assumption.

Cite

@article{arxiv.1910.13421,
  title  = {Linear random walks on the torus},
  author = {Weikun He and Nicolas de Saxcé},
  journal= {arXiv preprint arXiv:1910.13421},
  year   = {2020}
}

Comments

Revised version, numbering of some lemmata has changed compared to the first version

R2 v1 2026-06-23T11:58:40.386Z