Brownian sheet and capacity
The paper deals with the Brownian sheet, a temporally inhomogeneous, multiparameter, centered continuous Gaussian process. One of the goals of the paper is to provide an elementary proof of a result of \textit{S. Song} [Séminaire de probabilités XXVII. Lect. Notes Math. 1557, 276-301 (1993; Zbl 0786.60105)] giving an explicit capacity estimate for the hitting probabilities of the Brownian sheet. As applications, the escape rates of the Brownian sheet are determined; a local intersection equivalence between the Brownian sheet and the additive Brownian motion is proved; and results concerning quasi-sure properties in Wiener space are proved.
scientific article; zbMATH DE number 1462546
scientific article