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Hausdorff dimension of random limsup sets

Ekström, Fredrik LU and Persson, Tomas LU (2018) In Journal of the London Mathematical Society 98(3). p.661-686
Abstract

We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence of balls in Rd whose centres are independent, identically distributed random variables. The formulas obtained involve the rate of decrease of the radii of the balls and multifractal properties of the measure according to which the balls are distributed, and generalise formulas that are known to hold for particular classes of measures.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the London Mathematical Society
volume
98
issue
3
pages
661 - 686
publisher
Oxford University Press
external identifiers
  • scopus:85050452983
ISSN
0024-6107
DOI
10.1112/jlms.12158
language
English
LU publication?
yes
id
ffd45b26-80f9-4ae3-9a2b-987d16775fe1
date added to LUP
2018-09-26 13:55:26
date last changed
2019-01-14 16:46:17
@article{ffd45b26-80f9-4ae3-9a2b-987d16775fe1,
  abstract     = {<p>We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence of balls in Rd whose centres are independent, identically distributed random variables. The formulas obtained involve the rate of decrease of the radii of the balls and multifractal properties of the measure according to which the balls are distributed, and generalise formulas that are known to hold for particular classes of measures.</p>},
  author       = {Ekström, Fredrik and Persson, Tomas},
  issn         = {0024-6107},
  language     = {eng},
  month        = {07},
  number       = {3},
  pages        = {661--686},
  publisher    = {Oxford University Press},
  series       = {Journal of the London Mathematical Society},
  title        = {Hausdorff dimension of random limsup sets},
  url          = {http://dx.doi.org/10.1112/jlms.12158},
  volume       = {98},
  year         = {2018},
}