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Ekström, F., Järvenpää, E., & Järvenpää, M. (2020). Hausdorff dimension of limsup sets of rectangles in the Heisenberg group. MATHEMATICA SCANDINAVICA, 126(2), 229-255. https://doi.org/10.7146/math.scand.a-119234

Hausdorff dimension of limsup sets of rectangles in the Heisenberg group

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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-fe2020060139942
Language: English
Published: Societates Mathematicae, 2020
Publish Date: 2020-06-01
Description:

Abstract

The almost sure value of the Hausdorff dimension of limsup sets generated by randomly distributed rectangles in the Heisenberg group is computed in terms of directed singular value functions.

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Series: Mathematica scandinavica
ISSN: 0025-5521
ISSN-E: 1903-1807
ISSN-L: 0025-5521
Volume: 126
Issue: 2
Pages: 229 - 255
DOI: 10.7146/math.scand.a-119234
OADOI: https://oadoi.org/10.7146/math.scand.a-119234
Type of Publication: A1 Journal article – refereed
Field of Science: 111 Mathematics
Subjects:
Article
Funding: We gratefully acknowledge the support of the Centre of Excellence in Analysis and Dynamics Research, funded by the Academy of Finland, and the hospitality of Institut Mittag-Leffler where part of this work was carried out.
Copyright information: © 2020 Svenska Matematikersamfundet.