6 citations · 23 across the 12 of their papers we have counts for
3 papers · 1 filter
Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials
Kyungkeun Kang, Hwa Kil Kim, Tongseok Lim +1
In this paper, we are concerned with local minimizers of an interaction energy governed by repulsive-attractive potentials of power-law type in one dimension. We prove that sum of…
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…
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…