paper

Quantitative recurrence problem on some Bedford-McMullen carpets

arXiv:2209.07315 · doi:10.1016/j.jmaa.2024.128938

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.

Quantitative recurrence problem on some Bedford-McMullen carpets · wovepaper