Multifractal Analysis of Complex Random Cascades

被引：18

作者：

Barral, Julien ^{[1
]}

Jin, Xiong ^{[2
]}

机构：

[1] Univ Paris 13, Dept Math, Inst Galilee, LAGA,UMR 7539, F-93430 Villetaneuse, France

[2] INRIA Rocquencourt, F-78153 Le Chesnay, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 297卷 / 01期

关键词：

HOLDER EXPONENTS; FORMALISM; SINGULARITIES; MARTINGALES; CONTINUITY; DIMENSIONS; REGULARITY; TURBULENCE; SPECTRUM; POINTS;

D O I：

10.1007/s00220-010-1030-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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, a].

引用

页码：129 / 168

页数：40

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