On gradient bounds for the heat kernel on the Heisenberg group

Logarithmic Sobolev Inequalities

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

Transport inequalities, gradient estimates, entropy and Ricci curvature

Max‐K. von Renesse, Karl‐Theodor Sturm · Communications on Pure and Applied Mathematics · 2004 · 466 citations

Natural Sciences, Physics, Heat Transfer +16

Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator

Dominique Bakry, Michel Ledoux · Inventiones mathematicae · 1996 · 166 citations

Engineering, Mathematics, Probability Theory +10

An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space

Sergey G. Bobkov · The Annals of Probability · 1997 · 143 citations · Full text

Natural Sciences, Mathematics, Geometry +4

Surface measures in Carnot-Carath�odory spaces

Roberto Monti, Francesco Serra Cassano · Calculus of Variations and Partial Differential Equations · 2001 · 143 citations

Natural Sciences, Mathematics, Topology +9