Multifractal formalism for self-affine measures with overlaps

被引：0
|
作者：
Qi-Rong Deng
Sze-Man Ngai
机构：
[1] Fujian Normal University,Department of Mathematics
[2] Georgia Southern University,Department of Mathematical Sciences
来源：
Archiv der Mathematik | 2009年 / 92卷
关键词：
Primary 28A80; Secondary 28A78; Self-affine measure; multifractal formalism; dimension spectrum; -spectrum; iterated function system with overlaps; asymptotic weak separation condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues have the same modulus, the Lq-spectrum τ(q) is differentiable for all q > 0. Furthermore, we prove that the multifractal formalism holds in the region corresponding to q > 0.
引用
收藏
页码：614 / 625
页数：11
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