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20102026
most citedA parabolic flow toward solutions of the optimal transportation problem on domains with boundary

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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…