Christian Léonard

Applied Mathematics · 2005–2021

A researcher in the Science corpus: 9 papers; trusts 30 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 79 citations into it; #2,820 of 7,620 by trust here, #1,149 by citations
• Geometry and Topology — 30 citations into it
• Statistics and Probability — 22 citations into it; #11,678 of 12,932 by trust here, #6,310 by citations
• Mathematical Physics — 19 citations into it; #1,188 of 8,562 by trust here, #1,159 by citations
• Computational Theory and Mathematics — 9 citations into it
• Finance — 8 citations into it; #10,106 of 10,518 by trust here, #8,598 by citations
• Numerical Analysis — 8 citations into it
• Optimization & Training — 6 citations into it

Whom Christian Léonard trusts overall

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

1. Felix Otto
2. Cédric Villani
3. Robert J. McCann
4. Michel Ledoux
5. Toshio Mikami
6. Liming Wu
7. Sergey G. Bobkov
8. Karl‐Theodor Sturm
9. Jean-David Benamou
10. Feng-Yu Wang

Who trusts Christian Léonard overall

1. Nathael Gozlan
2. G. Peyr'e
3. Jean Feydy
4. Ivan Gentil
5. Marco Cuturi
6. Patrick Cattiaux
7. Valentin De Bortoli
8. Marcel Nutz
9. Giovanni Conforti
10. Emmanuel Boissard

Papers from Christian Léonard's perspective

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

1. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
2. Topics in Optimal Transportation
3. Existence and uniqueness of monotone measure-preserving maps
4. Hypercontractivity of Hamilton-Jacobi equations
5. A Convexity Principle for Interacting Gases
6. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
7. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
8. Some Applications of Mass Transport to Gaussian-Type Inequalities
9. The concentration of measure phenomenon
10. Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

Their papers

• Time reversal of diffusion processes under a finite entropy condition (2021) — 82 citations
• Transportation-information inequalities for Markov processes (2007) — 111 citations
• About the analogy between optimal transport and minimal entropy (2015) — 95 citations
• A survey of the Schr\"odinger problem and some of its connections with optimal transport (2013) — 753 citations
• Reciprocal processes. A measure-theoretical point of view (2013) — 68 citations
• Girsanov theory under a finite entropy condition (2011) — 53 citations
• Transport Inequalities. A Survey (2010) — 178 citations
• A General Duality Theorem for the Monge--Kantorovich Transport Problem (2009) — 49 citations
• A large deviation approach to some transportation cost inequalities (2005) — 117 citations