An optimality results about sample paths properties of Operator Scaling Gaussian Random Fields in anisotropic Besov spaces

Special Issue: Proceedings of the "XIème Colloque Franco-Roumain de Mathématiques Appliquées"International audienceWe 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 field