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20112023
most citedIsotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations

142 citations · 370 across the 21 of their papers we have counts for

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Showing 2013 · math.PRShow all

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math.PR2013★ 13 cited

Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds

Roman Andreev, Annika Lang

A version of the Kolmogorov-Chentsov theorem on sample differentiability and Hölder continuity of random fields on domains of cone type is proved, and the result is generalized to…

math.PR2013★ 142 cited

Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations

Annika Lang, Christoph Schwab

Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Loève expansions with respect to the spherical harmonic functions and the angular power spectrum. The s…