7 citations · 26 across the 17 of their papers we have counts for
11 papers · 1 filter
Discrete logarithmic Sobolev inequalities in Banach spaces
Dario Cordero-Erausquin, Alexandros Eskenazis
Let be the discrete hypercube equipped with the uniform probability measure . We prove that if is a Banach space of finite cotype…
A Gaussian correlation inequality for plurisubharmonic functions
Franck Barthe, Dario Cordero-Erausquin
A positive correlation inequality is established for circular-invariant plurisubharmonic functions, with respect to complex Gaussian measures. The main ingredients of the proofs ar…
Talagrand's influence inequality revisited
Dario Cordero-Erausquin, Alexandros Eskenazis
Let be the discrete hypercube equipped with the uniform probability measure . Talagrand's influence inequality (1994) asserts that there exists $C\i…
On matrix-valued log-concavity and related Prekopa and Brascamp-Lieb inequalities
Dario Cordero-Erausquin
We propose a new, self-contained, approach to H. Raufi's extension of Prekopa's theorem for matrix-valued log-concave functions. Along the way, new related inequalities are establi…
Some extensions of the Prékopa-Leindler inequality using Borell's stochastic approach
Dario Cordero-Erausquin, Bernard Maurey
We present an abstract form of the Prékopa-Leindler inequality that includes several known -and a few new- related functional inequalities on Euclidean spaces. The method of proof…
A transport inequality on the sphere obtained by mass transport
Dario Cordero-Erausquin
Using McCann's transportation map, we establish a transport inequality on compact manifolds with positive Ricci curvature. This inequality contains the sharp spectral comparison es…