We develop a technique for the construction of random fields on algebraic structures. We deal with two general situations: random fields on homogeneous spaces of a compact group and in the spin line bundles of the 2-sphere. In particular, every complex Gaussian isotropic spin random field can be represented in this way. Our construction extends P. Lévy's original idea for the spherical Brownian motion. © 2014 Elsevier B.V. All rights reserved
In this paper we provide some simple characterizations for the spherical harmonics coefficients of a...
We introduce a class of isotropic time dependent random fields on the non-homogeneous sphere which i...
Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev ...
We develop a technique for the construction of random fields on algebraic structures. We deal with t...
Graduation date: 2013This dissertation examines properties and representations of several isotropic ...
We study the representations of tensor random fields on the sphere basing on the theory of represent...
Sample regularity and fast simulation of isotropic Gaussian random fields on the sphere are for exam...
Click on the DOI link below to access the article (may not be free).This paper presents the characte...
We introduce a novel approach to simulate Gaussian random fields defined over spheres of ℝ3. Through...
P. Levy introduced a notion of Brownian motion 2 £ ~ {X(p) I P β M) with parameter in a metric spac...
Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Loève expansions with r...
The efficient simulation of isotropic Gaussian random fields on the unit sphere is a task encountere...
We present series expansions and moving average representations of isotropic Gaussian random fields ...
The paper provides a way to model axially symmetric random fields defined over the two-dimensional u...
In this paper we provide some simple characterizations for the spherical harmonics coefficients of a...
We introduce a class of isotropic time dependent random fields on the non-homogeneous sphere which i...
Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev ...
We develop a technique for the construction of random fields on algebraic structures. We deal with t...
Graduation date: 2013This dissertation examines properties and representations of several isotropic ...
We study the representations of tensor random fields on the sphere basing on the theory of represent...
Sample regularity and fast simulation of isotropic Gaussian random fields on the sphere are for exam...
Click on the DOI link below to access the article (may not be free).This paper presents the characte...
We introduce a novel approach to simulate Gaussian random fields defined over spheres of ℝ3. Through...
P. Levy introduced a notion of Brownian motion 2 £ ~ {X(p) I P β M) with parameter in a metric spac...
Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Loève expansions with r...
The efficient simulation of isotropic Gaussian random fields on the unit sphere is a task encountere...
We present series expansions and moving average representations of isotropic Gaussian random fields ...
The paper provides a way to model axially symmetric random fields defined over the two-dimensional u...
In this paper we provide some simple characterizations for the spherical harmonics coefficients of a...
We introduce a class of isotropic time dependent random fields on the non-homogeneous sphere which i...
Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev ...
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