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math.FA2009
The geometry of Euclidean convolution inequalities and entropy
Dario Cordero-Erausquin, Michel Ledoux
The goal of this note is to show that some convolution type inequalities from Harmonic Analysis and Information Theory, such as Young's convolution inequality (with sharp constant)…
math.FA2009★ 2 cited
Correlation and Brascamp-Lieb inequalities for Markov semigroups
F. Barthe, D. Cordero-Erausquin, M. Ledoux +1
This paper builds upon several recent works, where semigroup proofs of Brascamp-Lieb inequalities are provided in various settings (Euclidean space, spheres and symmetric groups).…