Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds

DOI10.1007/s11118-014-9392-yzbMath1309.60050arXiv1307.4886OpenAlexW2003722335MaRDI QIDQ462307

J. Herrera, D. Rodríguez-Gómez

Publication date: 20 October 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4886

zbMATH Keywords

Sobolev embeddingsKolmogorov-Chentsov theoremrandom fields on manifoldssample differentiabilitysample Hölder continuity

Mathematics Subject Classification ID

Random fields (60G60) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sample path properties (60G17)

Related Items (5)

Excursion probability of Gaussian random fields on sphere ⋮ Gaussian random fields on the sphere and sphere cross line ⋮ Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations ⋮ Regularity of Gaussian processes on Dirichlet spaces ⋮ Needlet approximation for isotropic random fields on the sphere

Cites Work

• Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
• Sobolev embedding for stochastic processes
• Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients
• The Geometry of Random Fields
• Multiparameter Processes
• Random Fields and Geometry
• Stochastic Partial Differential Equations with Levy Noise
• Riemannian geometry.
• Stochastic Equations in Infinite Dimensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds