Visualitza Departament: Matemàtiques per autoria "a9381a49-51a2-4e1d-b869-9634d1a8091f"
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A family of Markov processes in maximal compact subgroups of a semisimple Lie groups
Arafat, Ahmed; Mateu, Jorge; Gregori, Pablo Elsevier (2017)We propose and define a family of marked point processes in noncompact semisimple Lie groups. We first generate Lévy processes via marked point processes by using jump–diffusion processes. Then we build a family of Markov ... -
Equivalence and orthogonality of Gaussian measures on spheres
Arafat, Ahmed; Porcu, Emilio; Bevilacqua, M.; Mateu, Jorge Elsevier (2018-09)The equivalence of Gaussian measures is a fundamental tool to establish the asymptotic properties of both prediction and estimation of Gaussian fields under fixed domain asymptotics. The paper solves Problem 18 in the list ... -
Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres
Arafat, Ahmed; Gregori, Pablo; Porcu, Emilio Elsevier (2020)We consider the class Ψd of continuous functions that define isotropic covariance functions in the d-dimensional sphere Sd. We provide a new recurrence formula for the solution of Problem 1 in Gneiting (2013b), solved ...