Correlation Structures

Anatoliy Malyarenko, Martin Ostoja-Starzewski, Amirhossein Amiri-Hezaveh

Research output: Chapter in Book/Report/Conference proceedingChapter


We calculate the one- and two-point correlation tensors of a homogeneous and (K, θ) -isotropic random field, where K is one of the 10 closed subgroups of the group O (3 ) lying between the group D2 and its normaliser, O×Z2c, and where θ is the restriction of the natural representation of the group K in the space of all piezoelectric tensors to the 3-dimensional linear space where the group D2 acts trivially. The spectral expansion of such a field in terms of stochastic integrals with respect to certain random measures is also calculated.

Original languageEnglish (US)
Title of host publicationSpringerBriefs in Applied Sciences and Technology
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages51
StatePublished - 2020

Publication series

NameSpringerBriefs in Applied Sciences and Technology
ISSN (Print)2191-530X
ISSN (Electronic)2191-5318

ASJC Scopus subject areas

  • Biotechnology
  • Chemical Engineering(all)
  • Mathematics(all)
  • Materials Science(all)
  • Energy Engineering and Power Technology
  • Engineering(all)

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