Open Access
2017 Hitting probabilities of random covering sets in tori and metric spaces
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo, Bing Li, Ville Suomala, Yimin Xiao
Electron. J. Probab. 22: 1-18 (2017). DOI: 10.1214/16-EJP4658

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 tori, we deal with general analytic generating sets.

Citation

Download Citation

Esa Järvenpää. Maarit Järvenpää. Henna Koivusalo. Bing Li. Ville Suomala. Yimin Xiao. "Hitting probabilities of random covering sets in tori and metric spaces." Electron. J. Probab. 22 1 - 18, 2017. https://doi.org/10.1214/16-EJP4658

Information

Received: 22 October 2015; Accepted: 17 May 2016; Published: 2017
First available in Project Euclid: 5 January 2017

zbMATH: 06681503
MathSciNet: MR3613694
Digital Object Identifier: 10.1214/16-EJP4658

Subjects:
Primary: 60D05, 28A80

Keywords: dimension of intersection , hitting probability , Random covering set

Vol.22 • 2017
Back to Top