Random self-affine multifractal Sierpinski sponges in Rd

被引:0
|
作者
Olsen, Lars [1 ]
机构
[1] Univ St Andrews, Dept Math, St Andrews KY16 9SS, Fife, Scotland
来源
MONATSHEFTE FUR MATHEMATIK | 2011年 / 162卷 / 01期
关键词
Multifractals; Self-affine measures; Sierpinski sponges; Hausdorff dimension Packing dimension; Renyi dimension; Local dimension; HAUSDORFF DIMENSION; SINGULARITY SPECTRUM; BIRKHOFF AVERAGES; SETS; CARPETS; FRACTALS;
D O I
10.1007/s00605-009-0160-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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
收藏
页码:89 / 117
页数:29
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