Kolmogorov-Chentsov Theorem and Differentiability of Random Fields on Manifolds
Journal article, 2014
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.
Sobolev embeddings
Sample differentiability
Random fields on manifolds
Sample Hölder continuity
Kolmogorov-Chentsov theorem
Author
R. Andreev
Annika Lang
Chalmers, Mathematical Sciences, Mathematical Statistics
University of Gothenburg
Potential Analysis
0926-2601 (ISSN) 1572-929X (eISSN)
Vol. 41 3 761-769Roots
Basic sciences
Subject Categories
Probability Theory and Statistics
Mathematical Analysis
DOI
10.1007/s11118-014-9392-y