1 citations · 1 across the 9 of their papers we have counts for
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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…
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 two membranes problem in a regular tree
Irene Gonzálvez, Alfredo Miranda, Julio D. Rossi
In this paper we study the two membranes problem for operators given in terms of a mean value formula on a regular tree. We show existence of solutions under adequate conditions on…
Games for the two membranes problem
Alfredo Miranda, Julio D. Rossi
In this paper we find viscosity solutions to the two membranes problem (that is a system with two obstacle-type equations) with two different Laplacian operators taking limits…
Monotone iterations of two obstacle problems with different operators
Irene Gonzalvez, Alfredo Miranda, Julio D. Rossi
In this paper we analyze iterations of the obstacle problem for two different operators. We solve iteratively the obstacle problem from above or below for two different differentia…
Systems involving mean value formulas on trees
Alfredo Miranda, Carolina A. Mosquera, Julio D. Rossi
In this paper we study the Dirichlet problem for systems of mean value equations on a regular tree. We deal both with the directed case (the equations verified by the components of…
A game theoretical approximation for a parabolic/elliptic system with different operators
Alfredo Miranda, Julio D. Rossi
In this paper we find viscosity solutions to a coupled system composed by two equations, the first one is parabolic and driven by the infinity Laplacian while the second one is ell…
A game theoretical approach for an elliptic system with two different operators (the Laplacian and the infinity Laplacian)
Alfredo Miranda, Julio D Rossi
In this paper we find viscosity solutions to an elliptic system governed by two different operators (the Laplacian and the infinity Laplacian) using a probabilistic approach. We an…