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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…
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…
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…
The trace fractional Laplacian and the mid-range fractional Laplacian
Julio D. Rossi, Jorge Ruiz-Cases
In this paper we introduce two new fractional versions of the Laplacian. The first one is based on the classical formula that writes the usual Laplacian as the sum of the eigenvalu…