Franck Barthe

Applied Mathematics · 2003–2016

A researcher in the Science corpus: 18 papers; trusts 33 researchers and is trusted by 39 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 61 citations into it; #412 of 7,620 by trust here, #367 by citations
• Statistics and Probability — 30 citations into it; #2,717 of 12,932 by trust here, #2,108 by citations
• Mathematical Physics — 18 citations into it; #1,809 of 8,562 by trust here, #1,130 by citations
• Geometry and Topology — 17 citations into it; #2,278 of 7,422 by trust here, #1,249 by citations
• Numerical Analysis — 12 citations into it; #386 of 3,586 by trust here, #390 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #9,388 of 10,127 by trust here, #6,421 by citations
• Artificial Intelligence — 7 citations into it
• Signal Processing — 6 citations into it

Whom Franck Barthe trusts overall

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

1. Feng-Yu Wang
2. Sergey G. Bobkov
3. Rafal Latala
4. Dario Cordero-Erausquin
5. Michael Röckner
6. Michel Ledoux
7. D. Bakry
8. Cyril Roberto
9. Mathieu Meyer
10. Friedrich Götze

Who trusts Franck Barthe overall

1. Emanuel Milman
2. Nathael Gozlan
3. Patrick Cattiaux
4. Arnaud Guillin
5. Cyril Roberto
6. A. V. Kolesnikov
7. D. Bakry
8. Djalil CHAFAÏ
9. Guangxian Zhu
10. Dario Cordero-Erausquin

Papers from Franck Barthe's perspective

Ordered by how strongly the researchers Franck Barthe 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. Some Applications of Mass Transport to Gaussian-Type Inequalities
4. Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups
5. Functional Inequalities for Empty Essential Spectrum
6. The Santalo point of a function, and a functional form of the Santalo inequality
7. Existence and uniqueness of monotone measure-preserving maps
8. Hypercontractivity of Hamilton-Jacobi equations
9. On the role of convexity in isoperimetry, spectral gap and concentration
10. Some Inequalities Satisfied by the Quantities of Information of Fisher and Shannon

Their papers

• Solution of Shannon's problem on the monotonicity of entropy (2004) — 202 citations
• A simple proof of the Poincaré inequality for a large class of probability measures (2008) — 228 citations
• Concentration for independent random variables with heavy tails (2005) — 59 citations
• Entropy jumps in the presence of a spectral gap (2003) — 75 citations
• Combinatorial Optimization Over Two Random Point Sets (2011) — 82 citations
• On the rate of convergence in the entropic central limit theorem (2004) — 98 citations
• A Continuous Version of the Brascamp-Lieb Inequalities (2004) — 61 citations
• Poincaré inequalities on intervals – application to sensitivity analysis (2016) — 51 citations
• The volume product of convex bodies with many hyperplane symmetries (2013) — 52 citations
• Invariances in variance estimates (2011) — 58 citations
• Correlation and Brascamp–Lieb Inequalities for Markov Semigroups (2009) — 49 citations
• Mass Transport and Variants of the Logarithmic Sobolev Inequality (2007) — 75 citations
• Isoperimetry between exponential and Gaussian (2006) — 52 citations
• Learning from Dependent Observations (2006)
• A probabilistic approach to the geometry of the ℓᵨⁿ-ball (2005) — 245 citations
• Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry (2004) — 151 citations
• Sobolev inequalities for probability measures on the real line (2003) — 135 citations
• Extremal slabs in the cube and the Laplace transform (2003) — 48 citations