  We prove that the convex peeling of a random point set in dimension d
approximates motion by the 1/(d + 1) power of Gaussian curvature. We use
viscosity solution theory to interpret the limiting partial differential
equation. We use the Martingale method to solve the cell problem associated to
convex peeling. Our proof follows the program of Armstrong-Cardaliaguet for
homogenization of geometric motions, but with completely different ingredients.
