Gaussian fields satisfying simultaneous operator scaling relations

Marianne Clausel (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

In this paper we defi ne a special class of group self-similar Gaussian fields. We present an harmonizable representation of m parameter group self-similar Gaussian field by utilizing Haar measure of this group. These fields have also stationary rectangular increments according to special directions linked to co reduction of matrices of the considered m parameter group.

Domaines: Probabilités [math.PR]

Marianne Clausel. Gaussian fields satisfying simultaneous operator scaling relations. Birkhauser. Recent developments in Fractals and related Fields, Birkhauser, pp.327-342, 2010, Applied and numerical harmonic analysis. ⟨hal-00582829⟩