CONVEX BODIES AND GAUSSIAN PROCESSES

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