An optimality result about sample path properties of Operator Scaling Gaussian Random Fields

Abstract

We study the sample paths properties of Operator scaling Gaussian random fields. Such fields are anisotropic generalizations of anisotropic self-similar random fields as anisotropic Fractional Brownian Motion. 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.

References in corpus (1)

• Sample paths properties of Gaussian fields with equivalent spectral densities

Cited by in corpus (1)

• A strong optimality result for anisotropic self--similar textures