Hitting probabilities of random covering sets in tori and metric spaces

Abstract

We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric spaces and in the $d$-dimensional torus. In metric spaces, we consider covering sets generated by balls and, in the torus, we deal with general analytic generating sets.

22 pages

Cited by in corpus (1)

• Random Covering Sets in Metric Space with Exponentially Mixing Property