Self-affine multifractal Sierpinski Sponges in Rd

被引：77

作者：

Olsen, L ^{[1
]}

机构：

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1998年 / 183卷 / 01期

关键词：

D O I：

10.2140/pjm.1998.183.143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study self-affine multifractals in R-d using the formalism introduced in [Olsen, A multifractal formalism, Advances in Mathematics, 116 (1996), 82-196]. We prove that new multifractal phenomena, not exhibited by self-similar multifractals in R-d, appear in the self-affine case.

引用

页码：143 / 199

页数：57

共 35 条

[1]

[Anonymous], J THEORETICAL PROBAB, DOI 10.1007/BF02213576

[2]

ARBEITER M, 1994, RANDOM SELF SIMILAR

[3]

Bedford T., 1984, THESIS U WARWICK

[4] MULTIFRACTAL DECOMPOSITIONS OF MORAN FRACTALS [J].