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A large deviation approach to some transportation cost inequalities

Nathaël Gozlan, Christian Léonard

Probability Theory and Related Fields · 2006 · 103 citations · 15 references

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References

15

Large Deviations Techniques and Applications

Uwe Schmock, Amir Dembo, Ofer Zeitouni · Journal of the American Statistical Association · 2000 · 3.7K citations

, , +15

$I$-Divergence Geometry of Probability Distributions and Minimization Problems

Imre Csiszár · The Annals of Probability · 1975 · 1.6K citations · Full text

, , +14

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

Félix Otto, Cédric Villani · Journal of Functional Analysis · 2000 · 963 citations

, , +5

The Brunn-Minkowski inequality in Gauss space

Christer Borell · Inventiones mathematicae · 1975 · 725 citations

, , +8

Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

Sergey G. Bobkov, Friedrich Götze · Journal of Functional Analysis · 1999 · 587 citations

, , +13