Hinojosa Calleja, AdriánSanz-Solé, Marta2021-03-022022-02-272021-02-272194-0401https://hdl.handle.net/2445/174485We 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 and upper bounds in terms of general notions of capacity and Hausdorff measure, respectively, therefore extending the classical estimates with the Bessel-Riesz capacity and the $\gamma$ -dimensional Hausdorff measure. We apply the criteria to a system of linear stochastic partial differential equations driven by space-time noises that are fractional in time and either white or colored in space.application/pdfeng(c) Springer, 2021Processos estocàsticsAnàlisi estocàsticaStochastic processesAnalyse stochastiqueinfo:eu-repo/semantics/article7074392021-03-02info:eu-repo/semantics/openAccess