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A note on random coverings of tori

Persson, Tomas LU (2015) In Bulletin of the London Mathematical Society 47. p.7-12
Abstract
This note provides a generalization of a recent result by Jarvenpaa, Jarvenpaa, Koivusalo, Li, and Suomala (to appear) on the dimension of limsup-sets of random coverings of tori. The result in this note is stronger in the sense that it provides also a large intersection property of the limsup-sets, the assumptions are weaker, and it implies the result of Jarvenpaa, Jarvenpaa, Koivusalo, Li, and Suomala as a special case. The proof is based on a recent result by Persson and Reeve from 2013.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Bulletin of the London Mathematical Society
volume
47
pages
7 - 12
publisher
Oxford University Press
external identifiers
  • wos:000350207300002
  • scopus:84922434341
ISSN
1469-2120
DOI
10.1112/blms/bdu087
language
English
LU publication?
yes
id
7a65af99-c9f9-4daf-bac6-e2cf93e1df06 (old id 5303934)
date added to LUP
2015-04-24 11:06:10
date last changed
2017-09-24 03:18:13
@article{7a65af99-c9f9-4daf-bac6-e2cf93e1df06,
  abstract     = {This note provides a generalization of a recent result by Jarvenpaa, Jarvenpaa, Koivusalo, Li, and Suomala (to appear) on the dimension of limsup-sets of random coverings of tori. The result in this note is stronger in the sense that it provides also a large intersection property of the limsup-sets, the assumptions are weaker, and it implies the result of Jarvenpaa, Jarvenpaa, Koivusalo, Li, and Suomala as a special case. The proof is based on a recent result by Persson and Reeve from 2013.},
  author       = {Persson, Tomas},
  issn         = {1469-2120},
  language     = {eng},
  pages        = {7--12},
  publisher    = {Oxford University Press},
  series       = {Bulletin of the London Mathematical Society},
  title        = {A note on random coverings of tori},
  url          = {http://dx.doi.org/10.1112/blms/bdu087},
  volume       = {47},
  year         = {2015},
}