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math.AP2026
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…
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.AP2024
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…