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Young-Heon Kim
Young-Heon Kim
Mathematics, University of British Columbia
Zweryfikowany adres z math.ubc.ca - Strona główna
Tytuł
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Continuity, curvature, and the general covariance of optimal transportation
YH Kim, RJ McCann
J. Eur. Math. Soc. (JEMS) 12, 1009-1040., 2010
1732010
Structure of optimal martingale transport plans in general dimensions
N Ghoussoub, YH Kim, T Lim
The Annals of Probability 47 (1), 109-164, 2019
1082019
When is multidimensional screening a convex program?
A Figalli, YH Kim, RJ McCann
Journal of Economic Theory 146 (2), 454-478, 2011
1072011
Hölder continuity and injectivity of optimal maps
A Figalli, YH Kim, RJ McCann
Archive for Rational Mechanics and Analysis 209 (3), 747-795, 2013
99*2013
Wasserstein barycenters over Riemannian manifolds
YH Kim, B Pass
Advances in Mathematics 307, 640-683, 2017
912017
A generalization of Caffarelli’s contraction theorem via (reverse) heat flow
YH Kim, E Milman
Mathematische Annalen 354 (3), 827-862, 2012
692012
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
642014
Partial regularity of Brenier solutions of the Monge-Ampere equation
A Figalli, YH Kim
Discrete and Continuous Dynamical Systems. Series A 28 (2), 559-565, 2010
642010
Toward a mathematical theory of trajectory inference
H Lavenant, S Zhang, YH Kim, G Schiebinger
The Annals of Applied Probability 34 (1A), 428-500, 2024
632024
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
61*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
522013
Pseudo-Riemannian geometry calibrates optimal transportation
YH Kim, RJ McCann, M Warren
Arxiv preprint arXiv:0907.4962, 2009
462009
Multi-marginal optimal transport on Riemannian manifolds
YH Kim, B Pass
American Journal of Mathematics 137 (4), 1045-1060, 2015
422015
Counterexamples to continuity of optimal transport maps on positively curved Riemannian manifolds
YH Kim
International Mathematics Research Notices 2008, rnn120, 2008
422008
PDE methods for optimal Skorokhod embeddings
N Ghoussoub, YH Kim, AZ Palmer
Calculus of Variations and Partial Differential Equations 58 (3), 113, 2019
282019
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
26*2020
On weak solutions of elliptic equations with singular drifts
H Kim, YH Kim
SIAM Journal on Mathematical Analysis 47 (2), 1271-1290, 2015
252015
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
182018
Parabolic optimal transport equations on manifolds
YH Kim, J Streets, M Warren
International Mathematics Research Notices 2012 (19), 4325-4350, 2012
182012
A solution to the Monge transport problem for Brownian martingales
N Ghoussoub, YH Kim, AZ Palmer
the Annals of Probability 49 (2), 877-907, 2021
162021
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