Polyadic random fields

被引:0
作者
Anatoliy Malyarenko
Martin Ostoja-Starzewski
机构
[1] Mälardalen University,Division of Mathematics and Physics
[2] University of Illinois at Urbana-Champaign,Department of Mechanical Science and Engineering, Institute for Condensed Matter Theory and Beckman Institute
来源
Zeitschrift für angewandte Mathematik und Physik | 2022年 / 73卷
关键词
Random field; Symmetry class; Polyadics; Primary 60G60;
D O I
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中图分类号
学科分类号
摘要
The paper considers mean-square continuous, wide-sense homogeneous, and isotropic random fields taking values in a linear space of polyadics. We find a set of such fields whose values are symmetric and positive-definite dyadics, and outline a strategy for their simulation.
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[1]  
Auffray N(2019)Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity Int. J. Solids Struct. 159 197-210
[2]  
He Q-C(1929)The triplets of helium Proc. R. Soc. A 122 513-532
[3]  
Le Quang H(2004)Clebsch–Gordan coefficients in the case of various choices of bases of unitary and orthogonal representations of the groups Sibirsk. Mat. Zh. 45 540-557
[4]  
Gaunt JA(1926) and Math. Ann. 95 313-339
[5]  
Godunov SK(1918)Zum Clifford-Kleinschen Raumproblem Biometrika 12 134-139
[6]  
Gordienko VM(1962)On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables Mich. Math. J. 9 87-92
[7]  
Hopf H(1957)Finite orbit structure on locally compact manifolds Ann. Math. 2 513-516
[8]  
Isserlis L(2019)On a conjecture of Montgomery Math. Mech. Complex Syst. 7 203-237
[9]  
Mann LN(2021)Effective computation of Meccanica 57 957-970
[10]  
Mostow GD (1994) and Acta Mech. 102 73-89