Geodesics of minimal length in the set of probability measures on graphs

We endow the set of probability measures on a weighted graph with a Monge–Kantorovich metric induced by a function defined on the set of edges. The graph is assumed to have n vertices and so the boundary of the probability simplex is an affine (n − 2)-chain. Characterizing the geodesics of minimal l...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2019, Vol.25, p.78
Hauptverfasser:	Gangbo, Wilfrid, Li, Wuchen, Mou, Chenchen
Format:	Artikel
Sprache:	eng
Schlagworte:	49K35 49Q20 60J27 Apexes Geodesic Geodesy Graph theory Graphs Hamilton–Jacobi equations on graphs manifold with boundary Optimal transport on simplexes
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!