A lower bound on the box-counting dimension of crossings in fractal percolation

被引：9
|
作者：
Orzechowski, ME [1 ]
机构：
[1] Univ St Andrews, Inst Math, St Andrews KY16 9SS, Fife, Scotland
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1998年 / 74卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
fractal percolation; Mandelbrot percolation; box-counting dimension; Holder exponent;
D O I：
10.1016/S0304-4149(97)00117-8
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We consider Mandelbrot's fractal percolation process, obtained by repeated subdivision of the unit square, and obtain an explicit almost sure lower bound on the lower box-counting dimension of paths within the retained set that cross the square from left to right. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：53 / 65
页数：13
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