Showing math.STShow all
3 papers · 1 filter
math.ST2022
Rudin Extension Theorems on Product Spaces, Turning Bands, and Random Fields on Balls cross Time
Emilio Porcu, Samuel F Feng, Xavier Emery +1
Characteristic functions that are radially symmetric have a dual interpretation, as they can be used as the isotropic correlation functions of spatial random fields. Extensions of…
math.ST2021
The Gauss Hypergeometric Covariance Kernel for Modeling Second-Order Stationary Random Fields in Euclidean Spaces: its Compact Support, Properties and Spectral Representation
Xavier Emery, Alfredo Alegría
This paper presents a parametric family of compactly-supported positive semidefinite kernels aimed to model the covariance structure of second-order stationary isotropic random fie…
math.ST2020
The Turning Arcs: a Computationally Efficient Algorithm to Simulate Isotropic Vector-Valued Gaussian Random Fields on the -Sphere
Alfredo Alegría, Xavier Emery, Christian Lantuéjoul
Random fields on the sphere play a fundamental role in the natural sciences. This paper presents a simulation algorithm parenthetical to the spectral turning bands method used in E…