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A strong optimality result for anisotropic self--similar textures
M. Clausel, B. Vedel
In previous works, we proposed a method to characterize jointly self-similarity and anisotropy properties of a large class of self--similar Gaussian random fields. We provide here…
An optimality result about sample path properties of Operator Scaling Gaussian Random Fields
M. Clausel, B. Vedel
We study the sample paths properties of Operator scaling Gaussian random fields. Such fields are anisotropic generalizations of anisotropic self-similar random fields as anisotropi…
Sample paths properties of Gaussian fields with equivalent spectral densities
M. Clausel, B. Vedel
We prove that if and are two Gaussian fields with equivalent spectral densities, they have the same sample paths properties in any separable Banach space continuously embed…
Explicit constructions of operator scaling Gaussian fields
Marianne Clausel--Lesourd, Béatrice Vedel
We propose an explicit way to generate a large class of Operator scaling Gaussian random fields (OSGRF). Such fields are anisotropic generalizations of selfsimilar fields. More spe…