Eric A. Carlen

Applied Mathematics · 2004–2016

A researcher in the Science corpus: 9 papers; trusts 38 researchers and is trusted by 34 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 60 citations into it; #751 of 7,620 by trust here, #886 by citations
• Computational Theory and Mathematics — 24 citations into it; #6,070 of 12,182 by trust here, #7,851 by citations
• Mathematical Physics — 17 citations into it; #2,023 of 8,562 by trust here, #3,482 by citations
• Geometry and Topology — 15 citations into it
• Modeling and Simulation — 9 citations into it; #351 of 2,105 by trust here, #605 by citations
• Molecular Biology — 8 citations into it
• Astronomy and Astrophysics — 5 citations into it
• Computational Mechanics — 5 citations into it; #6,594 of 10,001 by trust here, #9,582 by citations

Whom Eric A. Carlen trusts overall

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

1. Felix Otto
2. Elliott H. Lieb
3. Robert J. McCann
4. José Antonio Carrillo
5. Cédric Villani
6. Jan Maas
7. Juan Luis V'azquez
8. Keith Ball
9. C. Borell
10. Alexander Mielke

Who trusts Eric A. Carlen overall

1. Adrien Blanchet
2. N. Fusco
3. G. Peyr'e
4. Jan Maas
5. S. Meng
6. Stanislav Minsker
7. Jonathan Bennett
8. Alessio Figalli
9. Daniel Matthes
10. Franck Barthe

Papers from Eric A. Carlen's perspective

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

1. A Convexity Principle for Interacting Gases
2. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
3. THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION
4. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
5. Existence and uniqueness of monotone measure-preserving maps
6. Topics in Optimal Transportation
7. A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES
8. ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
9. Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
10. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

Their papers

• Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller–Segel equation (2011) — 125 citations
• TRACE INEQUALITIES AND QUANTUM ENTROPY: An introductory course (2009) — 330 citations
• Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model (2010) — 181 citations
• Duality and Stability for Functional Inequalities (2016) — 50 citations
• Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance (2016) — 212 citations
• An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy (2012) — 146 citations
• Asymptotic equipartition and long time behavior of solutions of a thin-film equation☆ (2007) — 49 citations
• Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities (2007) — 115 citations
• A sharp analog of Young’s inequality on SN and related entropy inequalities (2004) — 172 citations