The limit shape of convex hull peeling

Understand

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.