English

Quantitative recurrence problem on some Bedford-McMullen carpets

Dynamical Systems 2025-02-20 v2

Abstract

In this paper, we study the Hausdorff dimension of the quantitative recurrent set of the canonical endomorphism on the Bedford-McMullen carpets whose Hausdorff dimension and box dimension are equal.

Cite

@article{arxiv.2209.07315,
  title  = {Quantitative recurrence problem on some Bedford-McMullen carpets},
  author = {Yu-Liang Wu and Na Yuan},
  journal= {arXiv preprint arXiv:2209.07315},
  year   = {2025}
}
R2 v1 2026-06-28T01:22:01.037Z