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Regularity, continu...
Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces
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- Cleanthous, G. (författare)
- Trinity College Dublin, the University of Dublin
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- Georgiadis, A. G. (författare)
- Trinity College Dublin, the University of Dublin
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- Lang, Annika, 1980 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Porcu, E. (författare)
- Trinity College Dublin, the University of Dublin
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(creator_code:org_t)
- Elsevier BV, 2020
- 2020
- Engelska.
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Ingår i: Stochastic Processes and their Applications. - : Elsevier BV. - 0304-4149. ; 130:8, s. 4873-4891
- Relaterad länk:
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https://gup.ub.gu.se...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev regularity and Hölder continuity are explored through spectral representations. It is shown how spectral properties of the covariance function associated to a given Gaussian random field are crucial to determine such regularities and geometric properties. Furthermore, fast approximations of random fields on compact two-point homogeneous spaces are derived by truncation of the series expansion, and a suitable bound for the error involved in such an approximation is provided. © 2020 Elsevier B.V.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Angular power spectrum
- Approximation
- Compact two-point homogeneous spaces
- Covariance kernel
- Hölder regularity
- Random fields
- Sobolev spaces
- Two-point-homogeneous spaces
- Gaussian distribution
- Compact two-point homogeneous spaces
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- art (ämneskategori)
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