English

Discrepancy Skew Products and Affine Random Walks

Dynamical Systems 2017-10-18 v5 Probability

Abstract

We prove bounded rational ergodicity for some discrepancy skew products whose rotation number has bad rational approximation. This is done by considering the asymptotics of associated affine random walks.

Keywords

Cite

@article{arxiv.1603.07233,
  title  = {Discrepancy Skew Products and Affine Random Walks},
  author = {Jon. Aaronson and Michael Bromberg and Hitoshi Nakada},
  journal= {arXiv preprint arXiv:1603.07233},
  year   = {2017}
}

Comments

corrected MSC class, spelling & a remark on the temporal CLT

R2 v1 2026-06-22T13:17:08.949Z