Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds

Abstract

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 manifolds.

8 pages. Potential Analysis, February 2013

References in corpus (1)

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

Cited by in corpus (4)

• Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations
• Excursion probability of Gaussian random fields on sphere
• On Approximation for Fractional Stochastic Partial Differential Equations on the Sphere
• Continuity of Random Fields on Riemannian Manifolds