We consider a class of Gaussian isotropic random fields related to multi-parameter fractional Brownian motion. We calculate both the local and global moduli of continuity as well as the Hausdorff and packing dimensions of the exceptional random sets of fast points for that fields
Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev ...
We discuss a family of random fields indexed by a parameter s ∈ R which we call the fractional Gauss...
This paper introduces new classes of fractional and multifractional random fields arising from ellip...
We consider a class of Gaussian isotropic random fields related to multi-parameter fractional Browni...
This paper is concerned with the existence of multiple points of Gaussian random fields. Under the f...
Anisotropic Gaussian random fields arise in probability theory and in various applications. Typical ...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
Bernoulli, 21(3), 1719-1759, 2015International audienceIn this paper we study modulus of continuity ...
Fine regularity of stochastic processes is usually measured in a local way by local Hölder...
Let X = {X(t), t ∈ RN} be a Gaussian random field with values in Rd defined by X(t) = X1(t),..., Xd(...
This talk is concerned with sample path regularities of isotropic Gaussian fields and the solution o...
The main result of this contribution is the derivation of the exact asymptotic behavior of the supre...
We explore a generalisation of the L´evy fractional Brownian field on the Euclidean space based on ...
Graduation date: 2013This dissertation examines properties and representations of several isotropic ...
We study the Gaussian random fields indexed by Rd whose covariance is defined in all generality as t...
Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev ...
We discuss a family of random fields indexed by a parameter s ∈ R which we call the fractional Gauss...
This paper introduces new classes of fractional and multifractional random fields arising from ellip...
We consider a class of Gaussian isotropic random fields related to multi-parameter fractional Browni...
This paper is concerned with the existence of multiple points of Gaussian random fields. Under the f...
Anisotropic Gaussian random fields arise in probability theory and in various applications. Typical ...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
Bernoulli, 21(3), 1719-1759, 2015International audienceIn this paper we study modulus of continuity ...
Fine regularity of stochastic processes is usually measured in a local way by local Hölder...
Let X = {X(t), t ∈ RN} be a Gaussian random field with values in Rd defined by X(t) = X1(t),..., Xd(...
This talk is concerned with sample path regularities of isotropic Gaussian fields and the solution o...
The main result of this contribution is the derivation of the exact asymptotic behavior of the supre...
We explore a generalisation of the L´evy fractional Brownian field on the Euclidean space based on ...
Graduation date: 2013This dissertation examines properties and representations of several isotropic ...
We study the Gaussian random fields indexed by Rd whose covariance is defined in all generality as t...
Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev ...
We discuss a family of random fields indexed by a parameter s ∈ R which we call the fractional Gauss...
This paper introduces new classes of fractional and multifractional random fields arising from ellip...