Grégoire Loeper

Applied Mathematics · 2003–2013

A researcher in the Science corpus: 7 papers; trusts 23 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 48 citations into it; #200 of 7,620 by trust here, #638 by citations
• Geometry and Topology — 30 citations into it; #470 of 7,422 by trust here, #1,324 by citations
• Astronomy and Astrophysics — 12 citations into it
• Computational Theory and Mathematics — 6 citations into it; #3,747 of 12,182 by trust here, #6,463 by citations

Whom Grégoire Loeper trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Neil S. Trudinger
2. Robert J. McCann
3. Cédric Villani
4. Xu-jia Wang
5. Xinwen Ma
6. Jean-David Benamou
7. Young-Heon Kim
8. Felix Otto
9. Karl‐Theodor Sturm
10. Alessio Figalli

Who trusts Grégoire Loeper overall

1. Alessio Figalli
2. Cédric Villani
3. Guido De Philippis
4. Young-Heon Kim
5. Jiakun Liu
6. Robert J. McCann
7. Neil S. Trudinger
8. Pierre-Emmanuel Jabin
9. Ludovic Rifford
10. Filippo Santambrogio

Papers from Grégoire Loeper's perspective

Ordered by how strongly the researchers Grégoire Loeper trusts endorse each paper. Same corpus, a different order for every researcher.

1. Regularity of Potential Functions of the Optimal Transportation Problem
2. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
3. On the design of a reflector antenna II
4. A Convexity Principle for Interacting Gases
5. Topics in Optimal Transportation
6. On the regularity of solutions of optimal transportation problems
7. On the second boundary value problem for Monge-Ampère type equations and optimal transportation
8. STABILITY OF A 4TH-ORDER CURVATURE CONDITION ARISING IN OPTIMAL TRANSPORT THEORY
9. Polar factorization of maps on Riemannian manifolds
10. Mass transportation problems

Their papers

• Regularity of Optimal Maps on the Sphere: the Quadratic Cost and the Reflector Antenna (2013) — 109 citations
• Regularity of optimal transport in curved geometry: The nonfocal case (2010) — 89 citations
• C1 regularity of solutions of the Monge–Ampère equation for optimal transport in dimension two (2009) — 71 citations
• On the regularity of solutions of optimal transportation problems (2009) — 278 citations
• Uniqueness of the solution to the Vlasov-Poisson system with bounded density (2005) — 254 citations
• Numerical Analysis/Partial Differential Equations Numerical solution of the Monge-Ampère equation by a Newton's algorithm (2005) — 112 citations
• Reconstruction of the early Universe as a convex optimization problem (2003) — 163 citations