CONVEX BODIES AND GAUSSIAN PROCESSES

Richard A Vitale

Abstract

For several decades, the topics of the title have had a fruitful interaction. This survey will describe some of these connections, including the GB/GC classification of convex bodies, Ito-Nisio singularities from a geometric viewpoint, Gaussian representation of intrinsic volumes, theWills functional in a Gaussian context, and inequalities.

Keywords
convex body; Gaussian process; intrinsic volume; random convex body; strong law of large numbers for random convex bodies; Wills functional

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DOI: 10.5566/ias.v29.p13-18

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)