Young-Heon Kim
Applied Mathematics · 2007–2015
A researcher in the Science corpus: 9 papers; trusts 27 researchers and is trusted by 18 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 109 citations into it; #833 of 7,620 by trust here, #685 by citations
- Geometry and Topology — 66 citations into it; #1,364 of 7,422 by trust here, #1,531 by citations
- Computational Theory and Mathematics — 20 citations into it
- Mathematical Physics — 10 citations into it; #5,359 of 8,562 by trust here, #3,482 by citations
- Statistics and Probability — 10 citations into it
- Finance — 9 citations into it
- Economics and Econometrics — 6 citations into it
- Numerical Analysis — 6 citations into it
Whom Young-Heon Kim trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Neil S. Trudinger
- Grégoire Loeper
- Cédric Villani
- Robert J. McCann
- Xu-jia Wang
- Alessio Figalli
- Xinwen Ma
- Dario Cordero-Erausquin
- Guillaume Carlier
- Brendan Pass
Who trusts Young-Heon Kim overall
- Alessio Figalli
- Cédric Villani
- Guido De Philippis
- Grégoire Loeper
- Jiakun Liu
- Robert J. McCann
- Ludovic Rifford
- Brendan Pass
- Jérémie Bigot
- Nestor Guillen
Papers from Young-Heon Kim's perspective
Ordered by how strongly the researchers Young-Heon Kim trusts endorse each paper. Same corpus, a different order for every researcher.
- Regularity of Potential Functions of the Optimal Transportation Problem
- On the regularity of solutions of optimal transportation problems
- Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
- Topics in Optimal Transportation
- Optimal Transport: Old and New
- Existence and uniqueness of monotone measure-preserving maps
- Polar factorization of maps on Riemannian manifolds
- On the second boundary value problem for Monge-Ampère type equations and optimal transportation
- On the design of a reflector antenna II
- Gradient Flows: In Metric Spaces and in the Space of Probability Measures
Their papers
- Structure of optimal martingale transport plans in general dimensions (2015) — 76 citations
- Wasserstein Barycenters over Riemannian manifolds (2014) — 96 citations
- Hölder Continuity and Injectivity of Optimal Maps (2011) — 76 citations
- Regularity of optimal transport maps on multiple products of spheres (2010) — 57 citations
- Partial regularity of brenier solutions of the monge-ampère equation (2010) — 65 citations
- A generalization of Caffarelli’s contraction theorem via (reverse) heat flow (2010) — 69 citations
- Pseudo-Riemannian geometry calibrates optimal transportation (2009) — 54 citations
- Continuity and injectivity of optimal maps for non-negatively cross-curved costs (2009) — 50 citations
- Continuity, curvature, and the general covariance of optimal transportation (2007) — 182 citations