5 papers
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…
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…
Sliced optimal transport: is it a suitable replacement?
Jun Kitagawa, Asuka Takatsu
We introduce a one-parameter family of metrics on the space of Borel probability measures on Euclidean space with finite th moment for , called the $\textit{sli…