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
收藏
页码：241 / 258
页数：18
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