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Ekström, F., Järvenpää, E., Järvenpää, M., Suomala, V. (2018) Hausdorff dimension of limsup sets of random rectangles in products of regular spaces. Proceedings of the American Mathematical Society, 146:6, 2509-2521

Hausdorff dimension of limsup sets of random rectangles in products of regular spaces

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Author: Ekström, Fredrik1; Järvenpää, Esa1; Järvenpää, Maarit1;
Organizations: 1Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.3 MB)
Persistent link: http://urn.fi/urn:nbn:fi-fe201803236127
Language: English
Published: American Mathematical Society, 2018
Publish Date: 2018-03-23
Description:

Abstract

The almost sure Hausdorff dimension of the limsup set of randomly distributed rectangles in a product of Ahlfors regular metric spaces is computed in terms of the singular value function of the rectangles.

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Series: Proceedings of the American Mathematical Society
ISSN: 0002-9939
ISSN-E: 1088-6826
ISSN-L: 0002-9939
Volume: 146
Issue: 6
Pages: 2509 - 2521
DOI: 10.1090/proc/13920
OADOI: https://oadoi.org/10.1090/proc/13920
Type of Publication: A1 Journal article – refereed
Field of Science: 111 Mathematics
Subjects:
Article
Funding: We acknowledge the support of the Centre of Excellence in Analysis and Dynamics, funded by the Academy of Finland.
Copyright information: First published in Proc. Amer. Math. Soc. 146 (March 2018), published by the American Mathematical Society. © 2018 American Mathematical Society.