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20082022
most citedTowards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular)

14 citations · 24 across the 6 of their papers we have counts for

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math.PR2010★ 1 cited

Optimal transportation, topology and uniqueness

Najma Ahmad, Hwa Kil Kim, Robert J. McCann

The Monge-Kantorovich transportation problem involves optimizing with respect to a given a cost function. Uniqueness is a fundamental open question about which little is known when…

math.PR2010★ 6 cited

Extremal doubly stochastic measures and optimal transportation

Najma Ahmad, Hwa Kil Kim, Robert J. McCann

This article connects the theory of extremal doubly stochastic measures to the geometry and topology of optimal transportation. We begin by reviewing an old question (# 111) of Bir…