4 papers
The Schrödinger problem on metric graphs
Juliane Krautz, Jan-F. Pietschman
We study the Schrödinger problem on metric graphs and its different formulations. Starting from a static version, we introduce an equivalent reformulation as entropic optimal tran…
Weak curvature conditions on metric graphs
Juliane Krautz
Starting from pointwise gradient estimates for the heat semigroup, we study three characterizations of weak lower curvature bounds on metric graphs. More precisely, we prove the eq…
Dynamic Optimal Transport with optimal star shaped graphs
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study an optimal transport problem in a compact convex set where bulk transport is coupled to dynamic optimal transport on a metric graph $ \mathsf{G} =…
Dynamic Optimal Transport with Optimal Preferential Paths
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study a dynamic optimal transport type problem on a domain that consists of two parts: a compact set (bulk) and a non-intersecting and sufficiently regu…