Continuity, curvature, and the general covariance of optimal transportation YH Kim, RJ McCann J. Eur. Math. Soc. (JEMS) 12, 1009-1040., 2010 | 165 | 2010 |
When is multidimensional screening a convex program? A Figalli, YH Kim, RJ McCann Journal of Economic Theory 146 (2), 454-478, 2011 | 101 | 2011 |
Structure of optimal martingale transport plans in general dimensions N Ghoussoub, YH Kim, T Lim The Annals of Probability 47 (1), 109-164, 2019 | 99 | 2019 |
Hölder continuity and injectivity of optimal maps A Figalli, YH Kim, RJ McCann Archive for Rational Mechanics and Analysis 209 (3), 747-795, 2013 | 94* | 2013 |
Wasserstein barycenters over Riemannian manifolds YH Kim, B Pass Advances in Mathematics 307, 640-683, 2017 | 86 | 2017 |
A general condition for Monge solutions in the multi-marginal optimal transport problem YH Kim, B Pass SIAM Journal on Mathematical Analysis 46 (2), 1538-1550, 2014 | 59 | 2014 |
Towards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular) YH Kim, RJ McCann Journal für die reine und angewandte Mathematik (Crelles Journal) 2012 (664 …, 2012 | 59* | 2012 |
Partial regularity of Brenier solutionsof the Monge-Ampère equation A Figalli, YH Kim Discrete and Continuous Dynamical Systems 28 (2), 559-565, 2010 | 59 | 2010 |
A generalization of Caffarelli’s contraction theorem via (reverse) heat flow YH Kim, E Milman Mathematische Annalen 354 (3), 827-862, 2012 | 54 | 2012 |
Regularity of optimal transport maps on multiple products of spheres YH Kim, RJ McCann, A Figalli Journal of the European Mathematical Society 15 (4), 1131-1166, 2013 | 47 | 2013 |
Pseudo-Riemannian geometry calibrates optimal transportation YH Kim, RJ McCann, M Warren Arxiv preprint arXiv:0907.4962, 2009 | 45 | 2009 |
Multi-marginal optimal transport on Riemannian manifolds YH Kim, B Pass American Journal of Mathematics 137 (4), 1045-1060, 2015 | 39 | 2015 |
Counterexamples to continuity of optimal transport maps on positively curved Riemannian manifolds YH Kim International Mathematics Research Notices 2008, rnn120, 2008 | 39 | 2008 |
Towards a mathematical theory of trajectory inference H Lavenant, S Zhang, YH Kim, G Schiebinger arXiv preprint arXiv:2102.09204, 2021 | 38 | 2021 |
PDE methods for optimal Skorokhod embeddings N Ghoussoub, YH Kim, AZ Palmer Calculus of Variations and Partial Differential Equations 58 (3), 113, 2019 | 27 | 2019 |
Optimal Brownian stopping when the source and target are radially symmetric distributions N Ghoussoub, YH Kim, T Lim SIAM Journal on Control and Optimization 58 (5), 2765-2789, 2020 | 23* | 2020 |
On weak solutions of elliptic equations with singular drifts H Kim, YH Kim SIAM Journal on Mathematical Analysis 47 (2), 1271-1290, 2015 | 20 | 2015 |
Optimal transport with controlled dynamics and free end times N Ghoussoub, YH Kim, AZ Palmer SIAM Journal on Control and Optimization 56 (5), 3239-3259, 2018 | 17 | 2018 |
On the cost-subdifferentials of cost-convex functions YH Kim, RJ McCann arXiv preprint arXiv:0706.1226, 2007 | 16 | 2007 |
A solution to the Monge transport problem for Brownian martingales N Ghoussoub, YH Kim, AZ Palmer | 15 | 2021 |