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Kolmogorov–Chentsov Theorem and Differentiability of Random Fields on Manifolds

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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.

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Authors and Affiliations

  1. Seminar für Angewandte Mathematik, ETH Zürich, Rämistrasse 101, CH–8092, Zürich, Switzerland

    R. Andreev & A. Lang

  2. RICAM, Austrian Academy of Sciences, Altenberger Str. 69, A–4040, Linz, Austria

    R. Andreev

  3. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE–412 96, Göteborg, Sweden

    A. Lang

Authors
  1. R. Andreev
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  2. A. Lang
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Correspondence to A. Lang.

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Andreev, R., Lang, A. Kolmogorov–Chentsov Theorem and Differentiability of Random Fields on Manifolds. Potential Anal 41, 761–769 (2014). https://doi.org/10.1007/s11118-014-9392-y

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  • DOI: https://doi.org/10.1007/s11118-014-9392-y

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