Quantitative recurrence problem on some Bedford-McMullen carpets

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.

References in corpus (2)

• Dynamical Borel-Cantelli Lemma for Recurrence under Lipschitz Twists
• Dynamically defined subsets of generic self-affine sets