2 papers
math.AP2021
A stochastic representation for the solution of approximated mean curvature flow
Raffaele Grande
The evolution by horizontal mean curvature flow (HMCF) is a partial differential equation in a sub-Riemannian setting with application in IT and neurogeometry (see Citti-Franceschi…
math.AP2020
Asymptotics for optimal controls for horizontal mean curvature flow
Nicolas Dirr, Federica Dragoni, Raffaele Grande
The solutions to surface evolution problems like mean curvature flow can be expressed as value functions of suitable stochastic control problems, obtained as limit of a family of r…