Järvenpää, Esa, Järvenpää, Maarit, Koivusalo, Henna et al. (3 more authors) (2017) Hitting probabilities of random covering sets in tori and metric spaces. Electronic Journal of Probability. paper no. 1. pp. 1-18. ISSN 1083-6489
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.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017, The Author(s). | ||||||
Keywords: | math.PR, math.CA, math.DS | ||||||
Dates: |
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Institution: | The University of York | ||||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||||
Funding Information: |
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Depositing User: | Pure (York) | ||||||
Date Deposited: | 24 Feb 2017 14:40 | ||||||
Last Modified: | 01 Feb 2024 00:23 | ||||||
Published Version: | https://doi.org/10.1214/16-EJP4658 | ||||||
Status: | Published | ||||||
Refereed: | Yes | ||||||
Identification Number: | https://doi.org/10.1214/16-EJP4658 | ||||||
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