The subject of this work is a study of four properties of an isotropic Gaussian process on an infinite dimensional sphere in Hilbert space. The process is deterministic in the sense that its values on ...

We study a class of linear hyperbolic stochastic partial differential equations in bounded domains, which includes the wave equation and the telegraph equation, driven by Gaussian noise that is white ...

Random fields and Gaussian processes constitute fundamental frameworks in modern probability theory and spatial statistics, providing robust tools for modelling complex dependencies over space and ...

Visualization of how the “different” primordial fluctuations of the universe lead to the different spatial distribution of dark matter. The central figure (common to both the upper and lower rows) ...