Arnaud Marsiglietti

activity

20132026

most citedA lower bound on the differential entropy of log-concave random vectors with applications

42 citations · 79 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

cs.IT2016

Variants of the Entropy Power Inequality

Sergey Bobkov, Arnaud Marsiglietti

An extension of the entropy power inequality to the form $N_{r}^{α} (X + Y) \geq N_{r}^{α} (X) + N_{r}^{α} (Y)$ with arbitrary independent summands $X$ and $Y$ in $R^{n}$ is obtained for the…

math.MG2016★ 1 cited

On the stability of Brunn-Minkowski type inequalities

Andrea Colesanti, Galyna V. Livshyts, Arnaud Marsiglietti

Log-Brunn-Minkowski inequality was conjectured by Boröczky, Lutwak, Yang and Zhang \cite{BLYZ}, and it states that a certain strengthening of the classical Brunn-Minkowski inequali…