Resumen de Hitting probabilities for g-gaussian random fields

Adrián Hinojosa

• We develop criteria for hitting probabilities of Gaussian random fields with associated canonical metric given by a class of gauge functions. This yields upper and lower bounds in terms of general notions of Hausdor↵ measure and capacity, respectively.

  We apply the criteria to the solution of the following linear stochastic partial di↵erential equations: the Poisson equation driven by white noise, the heat equation driven by fractional-colored noise and the biharmonic heat equation driven by white noise.