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
International audienceWe study pathwise invariances and degeneracies of random fields with motivatin...
Sensitivity of output of a linear operator to its input can be quantified in various ways. In Contro...
We obtain formulae for the expected number and height distribution of critical points of smooth isot...
Special Issue: Proceedings of the "XIème Colloque Franco-Roumain de Mathématiques Appliquées"Interna...
International audienceWe investigate the sample paths regularity of operator scaling alpha-stable ra...
AbstractWe investigate the sample path regularity of operator scaling α-stable random fields. Such f...
Anisotropic Gaussian random fields arise in probability theory and in various applications. Typical ...
We propose an explicit way to generate a class of Operator scaling stable random Gaussian fields (OS...
International audienceWe propose an explicit way to generate a large class of Operator scaling Gauss...
International audienceParametric estimation for Gaussian operator scaling random fields and anisotro...
International audienceThe characterization and estimation of the Hölder regularity of random fields ...
Multivariate random fields whose distributions are invariant under operator-scalings in both the tim...
Bernoulli, 21(3), 1719-1759, 2015International audienceIn this paper we study modulus of continuity ...
International audienceIn this paper, we define and study a new class of random fields called harmoni...
Sensitivity of output of a linear operator to its input can be quantified in various ways. In Contro...
International audienceWe study pathwise invariances and degeneracies of random fields with motivatin...
Sensitivity of output of a linear operator to its input can be quantified in various ways. In Contro...
We obtain formulae for the expected number and height distribution of critical points of smooth isot...
Special Issue: Proceedings of the "XIème Colloque Franco-Roumain de Mathématiques Appliquées"Interna...
International audienceWe investigate the sample paths regularity of operator scaling alpha-stable ra...
AbstractWe investigate the sample path regularity of operator scaling α-stable random fields. Such f...
Anisotropic Gaussian random fields arise in probability theory and in various applications. Typical ...
We propose an explicit way to generate a class of Operator scaling stable random Gaussian fields (OS...
International audienceWe propose an explicit way to generate a large class of Operator scaling Gauss...
International audienceParametric estimation for Gaussian operator scaling random fields and anisotro...
International audienceThe characterization and estimation of the Hölder regularity of random fields ...
Multivariate random fields whose distributions are invariant under operator-scalings in both the tim...
Bernoulli, 21(3), 1719-1759, 2015International audienceIn this paper we study modulus of continuity ...
International audienceIn this paper, we define and study a new class of random fields called harmoni...
Sensitivity of output of a linear operator to its input can be quantified in various ways. In Contro...
International audienceWe study pathwise invariances and degeneracies of random fields with motivatin...
Sensitivity of output of a linear operator to its input can be quantified in various ways. In Contro...
We obtain formulae for the expected number and height distribution of critical points of smooth isot...
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