Multifractal Analysis of Complex Random Cascades

被引：0
|
作者：
Julien Barral
Xiong Jin
机构：
[1] Institut Galilée,LAGA (UMR 7539), Département de Mathématiques
[2] Université Paris 13,undefined
[3] INRIA Rocquencourt,undefined
来源：
Communications in Mathematical Physics | 2010年 / 297卷
关键词：
Hausdorff Dimension; Multifractal Analysis; Multifractal Spectrum; Left Endpoint; Singularity Spectrum;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We achieve the multifractal analysis of a class of complex valued statistically self-similar continuous functions. For we use multifractal formalisms associated with pointwise oscillation exponents of all orders. Our study exhibits new phenomena in multifractal analysis of continuous functions. In particular, we find examples of statistically self-similar such functions obeying the multifractal formalism and for which the support of the singularity spectrum is the whole interval [0, ∞].
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页码：129 / 168
页数：39
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