Ludovic Rifford

Applied Mathematics · 2004–2014

A researcher in the Science corpus: 12 papers; trusts 29 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 83 citations into it; #985 of 7,620 by trust here, #886 by citations
• Geometry and Topology — 65 citations into it; #2,234 of 7,422 by trust here, #2,024 by citations
• Computational Theory and Mathematics — 14 citations into it; #3,770 of 12,182 by trust here, #4,199 by citations
• Statistical and Nonlinear Physics — 14 citations into it
• Astronomy and Astrophysics — 12 citations into it; #6,206 of 10,964 by trust here, #9,695 by citations
• Mathematical Physics — 12 citations into it; #3,917 of 8,562 by trust here, #4,247 by citations
• Optimization & Training — 7 citations into it
• Control and Systems Engineering — 5 citations into it

Whom Ludovic Rifford trusts overall

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

1. Cédric Villani
2. F. Clarke
3. John M. Lee
4. Grégoire Loeper
5. Alessio Figalli
6. Piermarco Cannarsa
7. Carlo Mantegazza
8. A. Fathi
9. Robert J. McCann
10. Yanyan Li

Who trusts Ludovic Rifford overall

1. Andrei A. Agrachev
2. Alessio Figalli
3. Davide Barilari
4. Guido De Philippis
5. L. Rizzi
6. Ugo V. Boscain
7. Cédric Villani
8. Grégoire Loeper
9. Piermarco Cannarsa
10. Young-Heon Kim

Papers from Ludovic Rifford's perspective

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

1. Regularity of Potential Functions of the Optimal Transportation Problem
2. On the regularity of solutions of optimal transportation problems
3. STABILITY OF A 4TH-ORDER CURVATURE CONDITION ARISING IN OPTIMAL TRANSPORT THEORY
4. On the second boundary value problem for Monge-Ampère type equations and optimal transportation
5. Geometric Measure Theory
6. Nearly Round Spheres Look Convex
7. Hamilton—Jacobi Equations and Distance Functions on Riemannian Manifolds
8. On the Ma–Trudinger–Wang curvature on surfaces
9. Mass transportation problems
10. On Strict Convexity and Continuous Differentiability of Potential Functions in Optimal Transportation

Their papers

• A Morse-Sard theorem for the distance function on Riemannian manifolds (2004) — 61 citations
• Morse-Sard type results in sub-Riemannian geometry (2005) — 107 citations
• Semiconcavity results for optimal control problems admitting no singular minimizing controls (2008) — 84 citations
• Introduction to Optimal Transport (2014) — 57 citations
• Sub-Riemannian Geometry and Optimal Transport (2014) — 189 citations
• Nearly Round Spheres Look Convex (2012) — 81 citations
• NECESSARY AND SUFFICIENT CONDITIONS FOR CONTINUITY OF OPTIMAL TRANSPORT MAPS ON RIEMANNIAN MANIFOLDS (2011) — 69 citations
• On the Ma–Trudinger–Wang curvature on surfaces (2010) — 60 citations
• Continuity of optimal transport maps and convexity of injectivity domains on small deformations of 𝕊2 (2009) — 70 citations
• On Viscosity Solutions of Certain Hamilton–Jacobi Equations: Regularity Results and Generalized Sard's Theorems (2008) — 48 citations
• On the Hausdorff dimension of the mather quotient (2007) — 54 citations
• Approximation and regularization of Lipschitz functions: convergence of the gradients (2006) — 54 citations