Intrinsic Volumes of the Brownian Motion Body
Fuchang Gao, Richard A. Vitale
Abstract
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. Numerical support is offered for a conjecture of Sangwine-Yager, and another conjecture is offered on the rate of decay of intrinsic volume sequences.
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