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Pré-Publication, Document De Travail Année : 2010

Two optimality results about sample path properties of Operator Scaling Gaussian Random Fields

Résumé

We study the sample paths properties of Operator scaling Gaussian random fields. Such fields are anisotropic generalizations of self-similar fields. Some characteristic properties of the anisotropy are revealed by the regularity of the sample paths. The sharpest way of measuring smoothness is related to these anisotropies and thus to the geometry of these fields.
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Dates et versions

hal-00582831 , version 1 (05-04-2011)

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  • HAL Id : hal-00582831 , version 1

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Marianne Clausel, Béatrice Vedel. Two optimality results about sample path properties of Operator Scaling Gaussian Random Fields. 2010. ⟨hal-00582831⟩
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