3 papers
math.PR2022
Exact uniform modulus of continuity for -isotropic Gaussian random fields
Adrián Hinojosa-Calleja
We find sufficient conditions for the existence of an exact uniform modulus continuity for the class of -isotropic Gaussian random fields introduced in [8]. We apply the result…
math.PR2021
A linear stochastic biharmonic heat equation: hitting probabilities
Adrián Hinojosa-Calleja, Marta Sanz-Solé
Consider the linear stochastic biharmonic heat equation on a -dimensional torus (), driven by a space-time white noise and with periodic boundary conditions: \begin{equ…
math.PR2020
Anisotropic Gaussian random fields: Criteria for hitting probabilities and applications
Adrián Hinojosa-Calleja, Marta Sanz-Solé
We develop criteria for hitting probabilities of anisotropic Gaussian random fields with associated canonical pseudo-metric given by a class of gauge functions. This yields lower a…