R. A. Vitale

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math.MG2003

Intrinsic L_p metrics for convex bodies

R. A. Vitale

Intrinsic $L_{p}$ metrics are defined and shown to satisfy a dimension--free bound with respect to the Hausdorff metric.

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…