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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.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…
math.AP2024
Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach
Irene Gonzálvez, Alfredo Miranda, Julio D. Rossi +1
In this paper we look for the convex hull of a set using the geometric evolution by minimal curvature of a hypersurface that surrounds the set. To find the convex hull, we study th…