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Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds

by R. Andreev and A. Lang

(Report number 2013-22)

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.

Keywords: random fields on manifolds, Kolmogorov-Chentsov theorem, sample Hölder continuity, sample differentiability, Sobolev embeddings

@Techreport{AL13_519,
  author = {R. Andreev and A. Lang},
  title = {Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2013-22},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2013/2013-22.pdf },
  year = {2013}
}

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