3 papers
math.MG2003
Intrinsic L_p metrics for convex bodies
R. A. Vitale
Intrinsic metrics are defined and shown to satisfy a dimension--free bound with respect to the Hausdorff metric.
math.PR2000
Some Comparisons for Gaussian Processes
Richard A. Vitale
Extensions and variants are given for the well-known comparison principle for Gaussian processes based on ordering by pairwise distance.
math.MG2000
Intrinsic Volumes of the Brownian Motion Body
Fuchang Gao, Richard A. Vitale
Motivated from Gaussian processes, we derive the intrinsic volumes of the infinite--dimensional Brownian motion body. The method is by discretization to a class of orthoschemes. Nu…