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arXiv · 1510.06630

Hitting probabilities of random covering sets in tori and metric spaces

Esa Järvenpää·Maarit Järvenpää·Henna Koivusalo·Bing Li·Ville Suomala·Yimin Xiao
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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.

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Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo, Bing Li, Ville Suomala, Yimin Xiao. 2016-05-22. Hitting probabilities of random covering sets in tori and metric spaces. https://arxiv.org/abs/1510.06630

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