Covariance Models for Divergence-Free and Curl-Free Random Vector Fields

DOI10.1080/15326349.2012.699756zbMath1266.60093OpenAlexW2083676087MaRDI QIDQ3167894

Martin Schlather, Michael Scheuerer

Publication date: 29 October 2012

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2012.699756

zbMATH Keywords

variogramdivergence-freecurl-freesample path propertiesmatrix-valued covariance functionvector-valued random field

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Random fields (60G60) Geostatistics (86A32) Sample path properties (60G17)

Related Items (7)

Covariance models and Gaussian process regression for the wave equation. Application to related inverse problems ⋮ On degeneracy and invariances of random fields paths with applications in Gaussian process modelling ⋮ Fractional stochastic partial differential equation for random tangent fields on the sphere ⋮ Characterization theorems for some classes of covariance functions associated to vector valued random fields ⋮ Modeling Tangential Vector Fields on a Sphere ⋮ On boundary conditions parametrized by analytic functions ⋮ Cross-covariance functions for multivariate geostatistics

Uses Software

• R
• RandomFields

Cites Work

• An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
• Improved stability estimates and a characterization of the native space for matrix-valued RBFs
• Recent advances to model anisotropic space-time data
• Average-case analysis of numerical problems
• Regularity of the sample paths of a general second order random field
• Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions
• Matérn Cross-Covariance Functions for Multivariate Random Fields
• Random Fields and Geometry
• Cross-covariance functions for multivariate random fields based on latent dimensions
• The variance-based cross-variogram: You can add apples and oranges
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