Ivan Gentil

Applied Mathematics · 2001–2021

A researcher in the Science corpus: 8 papers; trusts 21 researchers and is trusted by 48 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 31 citations into it; #329 of 7,620 by trust here, #319 by citations
• Geometry and Topology — 9 citations into it
• Finance — 6 citations into it; #2,224 of 10,518 by trust here, #2,099 by citations
• Statistical and Nonlinear Physics — 6 citations into it; #9,718 of 10,127 by trust here, #7,747 by citations
• Statistics and Probability — 6 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom Ivan Gentil trusts overall

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

1. Sergey G. Bobkov
2. D. Bakry
3. Felix Otto
4. Jean-David Benamou
5. Robert J. McCann
6. Cédric Villani
7. Rafal Latala
8. Franck Barthe
9. Christian Léonard
10. Dario Cordero-Erausquin

Who trusts Ivan Gentil overall

1. Nathael Gozlan
2. Van Hoang Nguyen
3. Feng-Yu Wang
4. Patrick Cattiaux
5. Franck Barthe
6. Arnaud Guillin
7. Radosław Adamczak
8. Florent Malrieu
9. Nicola Gigli
10. A. V. Kolesnikov

Papers from Ivan Gentil's perspective

Ordered by how strongly the researchers Ivan Gentil 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. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
3. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
4. Some Applications of Mass Transport to Gaussian-Type Inequalities
5. Topics in Optimal Transportation
6. ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
7. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
8. Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
9. Between Sobolev and Poincaré
10. Entropy Bounds and Isoperimetry

Their papers

• Time reversal of diffusion processes under a finite entropy condition (2021) — 82 citations
• About the analogy between optimal transport and minimal entropy (2015) — 95 citations
• The Li-Yau inequality and applications under a curvature-dimension condition (2014) — 49 citations
• Analysis and Geometry of Markov Diffusion Operators (2013) — 1,715 citations
• Phi-entropy inequalities for diffusion semigroups (2008) — 63 citations
• Modified logarithmic Sobolev inequalities and transportation inequalities (2004) — 88 citations
• The general optimal Lp-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations (2003) — 61 citations
• Hypercontractivity of Hamilton-Jacobi equations (2001) — 357 citations