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math.AP2020
Quantitative stability in the geometry of semi-discrete optimal transport
Mohit Bansil, Jun Kitagawa
We show quantitative stability results for the geometric "cells" arising in semi-discrete optimal transport problems. Our results show two types of stability, the first is stabilit…
math.AP2019
An optimal transport problem with storage fees
Mohit Bansil, Jun Kitagawa
We introduce and investigate properties of a variant of the semi-discrete optimal transport problem. In this problem, one is given an absolutely continuous source measure and cost…