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:
https://lup.lub.lu.se/record/ffd45b26-80f9-4ae3-9a2b-987d16775fe1
- author
- Ekström, Fredrik
LU
and Persson, Tomas
LU
- organization
- publishing date
- 2018-07-20
- 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
- alternative location
- https://arxiv.org/abs/1612.07110
- date added to LUP
- 2018-09-26 13:55:26
- date last changed
- 2022-03-17 17:32:19
@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}},
doi = {{10.1112/jlms.12158}},
volume = {{98}},
year = {{2018}},
}