The algebraic difference of two random Cantor sets: The Larsson family
Probability
2011-03-15 v2 Metric Geometry
Abstract
In this paper, we consider a family of random Cantor sets on the line and consider the question of whether the condition that the sum of the Hausdorff dimensions is larger than one implies the existence of interior points in the difference set of two independent copies. We give a new and complete proof that this is the case for the random Cantor sets introduced by Per Larsson.
Cite
@article{arxiv.0901.3304,
title = {The algebraic difference of two random Cantor sets: The Larsson family},
author = {Michel Dekking and Károly Simon and Balázs Székely},
journal= {arXiv preprint arXiv:0901.3304},
year = {2011}
}
Comments
Published in at http://dx.doi.org/10.1214/10-AOP558 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)