Intrinsic volumes and Gaussian processes

  title={Intrinsic volumes and Gaussian processes},
  author={Richard A. Vitale},
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 It6-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… CONTINUE READING