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Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research

Anton Arnold, José A. Carrillo, Laurent Desvillettes, Jean Dolbeault, Ansgar J�ngel, Claudia Lederman, Peter A. Markowich, Giuseppe Toscani, Cédric Villani

Monatshefte für Mathematik · 2004 · 63 citations · 17 references

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17

Logarithmic Sobolev Inequalities

Leonard Gross · American Journal of Mathematics · 1975 · 1.8K citations

Some inequalities satisfied by the quantities of information of Fisher and Shannon

A. J. Stam · Information and Control · 1959 · 700 citations

, , +9

Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

José A. Carrillo, Robert J. McCann, Cédric Villani · Revista Matemática Iberoamericana · 2003 · 538 citations · Full text

, , +16

ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

Anton Arnold, Peter A. Markowich, Giuseppe Toscani et al. · Communications in Partial Differential Equations · 2001 · 472 citations

, , +14

On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

Laurent Desvillettes, Cédric Villani · Communications in Partial Differential Equations · 2000 · 148 citations

, , +15