3 papers
math.AP2026
A Viscosity Framework for Dynamic Programming Principles and Applications
Félix del Teso, Julio D. Rossi, Jorge Ruiz-Cases
In this work we introduce a viscosity-based notion of solution for general approximation schemes associated with partial differential equations, such as dynamic programming princip…
math.AP2026
Finding the convex envelope of a boundary datum using random geometric graphs
Aurelia Deshayes, Nicolás Frevenza, Alfredo Miranda +1
In this paper we approximate the convex envelope of a boundary datum inside a bounded domain in the Euclidean space. We work with a random graph that is obtained as random points w…
math.AP2025
A two-player zero-sum probabilistic game that approximates the mean curvature flow
Irene Gonzalvez, Alfredo Miranda, Julio D. Rossi +1
In this paper we introduce a new two-player zero-sum game whose value function approximates the level set formulation for the geometric evolution by mean curvature of a hypersurfac…