Dimensions of random self-affine multifractal Sierpinski sponges in Rd

被引：0

作者：

Olsen, L. ^{[1
]}

机构：

[1] Univ St Andrews, Dept Math, St Andrews KY16 9SS, Fife, Scotland

来源：

AEQUATIONES MATHEMATICAE | 2013年 / 86卷 / 1-2期

关键词：

Multifractals; self-affine measures; Sierpinski sponges; Hausdorff dimension; packing dimension; Renyi dimension; local dimension; HAUSDORFF DIMENSION; SINGULARITY SPECTRUM; BIRKHOFF AVERAGES; CARPETS; SETS; FRACTALS; MCMULLEN; BEDFORD;

D O I：

10.1007/s00010-013-0200-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the Hausdorff and packing dimensions and the Renyi dimensions of random self-affine multifractal Sierpinski sponges in R-d .

引用

页码：23 / 56

页数：34

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