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math.PR2021
Tensor- and spinor-valued random fields with applications to continuum physics and cosmology
Anatoliy Malyarenko, Martin Ostoja-Starzewski
In this paper, we review the history, current state-of-art, and physical applications of the spectral theory of two classes of random functions. One class consists of homogeneous a…
math.PR2014★ 2 cited
Spectral Expansions of Homogeneous and Isotropic Tensor-Valued Random Fields
Anatoliy Malyarenko, Martin Ostoja-Starzewski
We establish spectral expansions of homogeneous and isotropic random fields taking values in the -dimensional Euclidean space and in the space of symme…