Random covering by rectangles on self-similar carpets
Metric Geometry
2025-10-14 v2
Abstract
In this article, given a base-b self-similar set K, we study the random covering of K by horizontal or vertical rectangles, with respect to the Alfhors-regular measure on K, and the rectangular shrinking target problem on K.
Cite
@article{arxiv.2510.04879,
title = {Random covering by rectangles on self-similar carpets},
author = {E Daviaud},
journal= {arXiv preprint arXiv:2510.04879},
year = {2025}
}