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
International audienceOperator scaling Gaussian random fields, as anisotropic generalizations of sel...
AbstractTwo types of Gaussian processes, namely the Gaussian field with generalized Cauchy covarianc...
We establish classically the probability distribution (P-distribution) for the complex amplitudes of...
International audienceWe propose an explicit way to generate a large class of Operator scaling Gauss...
We propose an explicit way to generate a class of Operator scaling stable random Gaussian fields (OS...
Multivariate random fields whose distributions are invariant under operator-scalings in both the tim...
AbstractMultivariate random fields whose distributions are invariant under operator-scalings in both...
© 2020, Allerton Press, Inc. The article describes a new type of Gaussian fields on a two-dimensiona...
AbstractIn this work, a general representation for an operator self-similar Gaussian vector field is...
We study the sample paths properties of Operator scaling Gaussian random fields. Such fields are ani...
AbstractFor Gaussian vector fields {X(t) ∈ Rn:t ∈ Rd} we describe the covariance functions of all sc...
AbstractA scalar valued random field {X(x)}x∈Rd is called operator-scaling if for some d×d matrix E ...
Self-similar processes are useful models for natural systems that exhibit scaling. Operator scaling ...
Two types of Gaussian processes, namely the Gaussian field with generalized Cauchy covariance (GFGCC...
A scalar valued random field {X (x)}x∈Rd is called operator-scaling if for some d × d matrix E with ...
International audienceOperator scaling Gaussian random fields, as anisotropic generalizations of sel...
AbstractTwo types of Gaussian processes, namely the Gaussian field with generalized Cauchy covarianc...
We establish classically the probability distribution (P-distribution) for the complex amplitudes of...
International audienceWe propose an explicit way to generate a large class of Operator scaling Gauss...
We propose an explicit way to generate a class of Operator scaling stable random Gaussian fields (OS...
Multivariate random fields whose distributions are invariant under operator-scalings in both the tim...
AbstractMultivariate random fields whose distributions are invariant under operator-scalings in both...
© 2020, Allerton Press, Inc. The article describes a new type of Gaussian fields on a two-dimensiona...
AbstractIn this work, a general representation for an operator self-similar Gaussian vector field is...
We study the sample paths properties of Operator scaling Gaussian random fields. Such fields are ani...
AbstractFor Gaussian vector fields {X(t) ∈ Rn:t ∈ Rd} we describe the covariance functions of all sc...
AbstractA scalar valued random field {X(x)}x∈Rd is called operator-scaling if for some d×d matrix E ...
Self-similar processes are useful models for natural systems that exhibit scaling. Operator scaling ...
Two types of Gaussian processes, namely the Gaussian field with generalized Cauchy covariance (GFGCC...
A scalar valued random field {X (x)}x∈Rd is called operator-scaling if for some d × d matrix E with ...
International audienceOperator scaling Gaussian random fields, as anisotropic generalizations of sel...
AbstractTwo types of Gaussian processes, namely the Gaussian field with generalized Cauchy covarianc...
We establish classically the probability distribution (P-distribution) for the complex amplitudes of...