Intrinsic volumes and Gaussian processes
Intrinsic volumes are key functionals in convex geometry and have also appeared in several stochastic settings. Here we relate them to questions of regularity in Gaussian processes with regard to Itô–Nisio oscillation and metrization of GB/GC indexing sets. Various bounds and estimates are presented, and questions for further investigation are suggested. From alternate points of view, much of the discussion can be interpreted in terms of (i) random sets and (ii) properties of (deterministic) infinite-dimensional convex bodies.
Permanent link to this document: http://projecteuclid.org/euclid.aap/999188318
Digital Object Identifier: doi:10.1239/aap/999188318
Mathematical Reviews number (MathSciNet): MR1842297
Zentralblatt MATH identifier: 0994.60039