Transportation-information inequalities for Markov processes

Ricci curvature for metric-measure spaces via optimal transport

John Lott, Cédric Villani · Annals of Mathematics · 2009 · 1.3K citations · Full text

On the geometry of metric measure spaces. II

Karl‐Theodor Sturm · Acta Mathematica · 2006 · 1.2K citations · Full text

Integral Geometry, Measure Theory, Global Geometry +9

On Choosing and Bounding Probability Metrics

Alison L. Gibbs, Francis Edward Su · International Statistical Review · 2002 · 1.2K citations · Full text

Measure Theory, Engineering, Data Science +14

Asymptotic evaluation of certain markov process expectations for large time, II

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Large Time, Engineering, Stochastic Processes +8

Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality

Félix Otto, Cédric Villani · Journal of Functional Analysis · 2000 · 942 citations

Engineering, Logarithmic Sobolev Inequality, Variational Inequality +2