Multifractal Formalism for Almost all Self-Affine Measures

被引：0
|
作者：
Julien Barral
De-Jun Feng
机构：
[1] Institut Galilée,LAGA (UMR 7539), Département de Mathématiques
[2] Université Paris 13,Department of Mathematics
[3] The Chinese University of Hong Kong,undefined
来源：
Communications in Mathematical Physics | 2013年 / 318卷
关键词：
Hausdorff Dimension; Gibbs Measure; Iterate Function System; Borel Probability Measure; Multifractal Analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We conduct the multifractal analysis of self-affine measures for “almost all” family of affine maps. Besides partially extending Falconer’s formula of Lq-spectrum outside the range 1 < q ≤ 2, the multifractal formalism is also partially verified.
引用
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页码：473 / 504
页数：31
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