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math-ph2020
Convex and quasiconvex functions in metric graphs
Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi
We study convex and quasiconvex functions on a metric graph. Given a set of points in the metric graph, we consider the largest convex function below the prescribed datum. We chara…
math.AP2020
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…