7 citations · 26 across the 17 of their papers we have counts for
21 papers
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…
Improved log-concavity for rotationally invariant measures of symmetric convex sets
Dario Cordero-Erausquin, Liran Rotem
We prove that the (B) conjecture and the Gardner-Zvavitch conjecture are true for all log-concave measures that are rotationally invariant, extending previous results known for Gau…
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…
Regularity of monotone transport maps between unbounded domains
Dario Cordero-Erausquin, Alessio Figalli
The regularity of monotone transport maps plays an important role in several applications to PDE and geometry. Unfortunately, the classical statements on this subject are restricte…
One more proof of the Alexandrov-Fenchel inequality
D. Cordero-Erausquin, B. Klartag, Q. Merigot +1
We present a short proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies.