CONVEX BODIES AND GAUSSIAN PROCESSES

Richard A Vitale

doi:10.5566/ias.v29.p13-18

CONVEX BODIES AND GAUSSIAN PROCESSES

Authors

Richard A Vitale

DOI:

https://doi.org/10.5566/ias.v29.p13-18

Keywords:

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

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.