Multifractal Spectra of Random Self-Affine Multifractal Sierpinski Sponges in Rd

被引：8
|
作者：
Fraser, J. M. [1 ]
Olsen, L. [1 ]
机构：
[1] Univ St Andrews, Dept Math, St Andrews KY16 9SS, Fife, Scotland
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 03期
基金：
英国工程与自然科学研究理事会;
关键词：
multifractals; self-affine measures; Sierpinski sponges; Hausdorff dimension; local dimension; HAUSDORFF DIMENSION; SINGULARITY SPECTRUM; BIRKHOFF AVERAGES; CARPETS; SETS; FRACTALS; MCMULLEN; BEDFORD;
D O I：
10.1512/iumj.2011.60.4343
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the Hausdorff multifractal spectrum of random self-affine multifractal Sierpinski sponges in R-d.
引用
收藏
页码：937 / 983
页数：47
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