English

Twisted recurrence for dynamical systems with exponential decay of correlations

Dynamical Systems 2023-01-13 v1

Abstract

We study the set of points returning infinitely often to a sequence of targets dependent on the starting points. With an assumption of decay of correlations for L1 against bounded variations, we prove a generalized quantitative recurrence result under Lipschitz twists.

Keywords

Cite

@article{arxiv.2301.04736,
  title  = {Twisted recurrence for dynamical systems with exponential decay of correlations},
  author = {Jiajie Zheng},
  journal= {arXiv preprint arXiv:2301.04736},
  year   = {2023}
}
R2 v1 2026-06-28T08:09:45.957Z