THE ALGEBRAIC DIFFERENCE OF TWO RANDOM CANTOR SETS: THE LARSSON FAMILY
成果类型：
Article
署名作者：
Dekking, Michel; Simon, Karoly; Szekely, Balazs
署名单位：
Delft University of Technology; Budapest University of Technology & Economics
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/10-AOP558
发表日期：
2011
页码：
549-586
关键词：
摘要：
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.
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