50 citations · 60 across the 4 of their papers we have counts for
3 papers
math.FA2011★ 50 cited
Invariances in variance estimates
F. Barthe, D. Cordero-Erausquin
We provide variants and improvements of the Brascamp-Lieb variance inequality which take into account the invariance properties of the underlying measure. This is applied to spectr…
math.PR2011★ 4 cited
Hypercontractive measures, Talagrand's inequality, and influences
D. Cordero-Erausquin, M. Ledoux
We survey several Talagrand type inequalities and their application to influences with the tool of hypercontractivity for both discrete and continuous, and product and non-product…
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).…