STATISTICALLY ISOTROPIC TENSOR RANDOM FIELDS: CORRELATION STRUCTURES

被引：14

作者：

Malyarenko, Anatoliy ^{[1
]}

Ostoja-Starzewski, Martin ^{[2
]}

机构：

[1] Malardalen Univ, Div Appl Math, Box 883,Hogskoleplan 1, SE-72123 Vasteras, Sweden

[2] Univ Illinois, Dept Mech Sci & Engn, Urbana, IL 61801 USA

来源：

MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS | 2014年 / 2卷 / 02期

基金：

美国国家科学基金会;

关键词：

isotropic tensor random field; group representation; Godunov-Gordienko coefficients;

D O I：

10.2140/memocs.2014.2.209

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Let V be a real finite-dimensional vector space. We introduce some physical problems that may be described by V-valued homogeneous and isotropic random fields on R-3. We propose a general method for calculation of expectations and two-point correlation functions of such fields. Our results are equivalent to classical results by Robertson, when V = R-3, and those by Lomakin, when V is the space of symmetric second-rank tensors over R-3. Our solution involves an analogue of the classical Clebsch-Gordan coefficients.

引用

页码：209 / 231

页数：23

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