4 papers
Disintegrated optimal transport for metric fiber bundles
Jun Kitagawa, Asuka Takatsu
We define a new two-parameter family of metrics on subsets of Borel probability measures on general metric fiber bundles, called the $ \textit{disintegrated Monge--Kantorovich metr…
Barycenters in Disintegrated optimal transport
Jun Kitagawa, Asuka Takatsu
We prove existence and duality on a wide class of metric spaces, and uniqueness results on any connected, complete Riemannian manifold, with or without boundary, for classical Mong…
Time-periodic branched transport
Jun Kitagawa, Cecilia Mikat
We develop a new framework for branched transport between probability measures which are allowed to vary in time. This framework can be used to model problems where the underlying…
Hamilton-Jacobi-Bellman equations on graphs
Nicolò Forcillo, Jun Kitagawa, Russell W. Schwab
Here, we study Hamilton-Jacobi-Bellman equations on graphs. These are meant to be the analog of any of the following types of equations in the continuum setting of partial differen…