This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes…
We explicitly construct consistent conditional distributions for a large class of Gaussian measures defined on the space of (tempered) distributions on a domain in [italic]D in [italic]I[bold]R[superscript italic]d.
"Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments…
Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension three
by Sanz-Solé, Marta, Dalang, Robert, Mathematician, Switzerland, United States, Dalang, Robert, Mathématicien, Suisse, Etats-Unis, Dalang, Robert, Mathematiker, Schweiz, USA
fromMemoirs of the American Mathematical Society
This book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics. The necessary probabilistic background suitable for applied work in engineering as well as signal…