2 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
The evolution equation and the eigenvalue problem for the Laplacian in a regular tree
Leandro M. Del Pezzo, Nicolas Frevenza, Julio D. Rossi
In this paper, our main goal is to study the evolution problem associated with the Laplacian operator with Dirichlet boundary conditions on a regular tree. To this end, we place sp…
Quasiconvex functions on regular trees
Leandro M. Del Pezzo, Nicolas Frevenza, Julio D. Rossi
We introduce a definition of a quasiconvex function on an infinite directed regular tree that depends on what we understood by a segment on the tree. Our definition is based on thi…
Convex envelopes on Trees
Leandro M. Del Pezzo, Nicolas Frevenza, Julio D. Rossi
We introduce two notions of convexity for an infinite regular tree. For these two notions we show that given a continuous boundary datum there exists a unique convex envelope on th…
Dirichlet-to-Neumann maps on Trees
Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi
In this paper we study the Dirichlet-to-Neumann map for solutions to mean value formulas on trees. We give two alternative definition of the Dirichlet-to-Neumann map. For the first…