Jun Kitagawa

activity

20102026

most citedA parabolic flow toward solutions of the optimal transportation problem on domains with boundary

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.AP2023

Conditions for existence of single valued optimal transport maps on convex boundaries with nontwisted cost

Seonghyeon Jeong, Jun Kitagawa

We prove that if $Ω \subset R^{n + 1}$ is a (not necessarily strictly) convex, $C^{1}$ domain, and $μ$ and $μ ˉ$ are probability measures absolutely continuous with respect t…

math.OC2023

Equal area partitions of the sphere with diameter bounds, via optimal transport

Jun Kitagawa, Asuka Takatsu

We prove existence of equal area partitions of the unit sphere via optimal transport methods, accompanied by diameter bounds written in terms of Monge--Kantorovich distances. This…