Multidimensional Multifractal Random Measures

被引：22

作者：

Rhodes, Remi ^{[1
]}

Vargas, Vincent ^{[1
]}

机构：

[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75016 Paris, France

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2010年 / 15卷

关键词：

Random measures; Multifractal processes; POSITIVE-DEFINITE FUNCTIONS; TURBULENCE;

D O I：

10.1214/EJP.v15-746

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We construct and study space homogeneous and isotropic random measures (MMRM) which generalize the so-called MRM measures constructed in [1]. Our measures satisfy an exact scale invariance equation (see equation (1) below) and are therefore natural models in dimension 3 for the dissipation measure in a turbulent flow.

引用

页码：241 / 258

页数：18

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