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

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Showing 2014Show all

2 papers · 1 filter

math.FA2014★ 8 cited

A note on an $L^{p}$ -Brunn-Minkowski inequality for convex measures in the unconditional case

Arnaud Marsiglietti

We consider a different $L^{p}$ -Minkowski combination of compact sets in $R^{n}$ than the one introduced by Firey and we prove an $L^{p}$ -Brunn-Minkowski inequality, $p \in [0,1…

math.FA2014

On the improvement of concavity of convex measures

Arnaud Marsiglietti

We prove that a general class of measures, which includes $lo g$ -concave measures, is $\frac{1}{n}$ -concave according to the terminology of Borell, with additional assumptions on t…

A note on an Lp-Brunn-Minkowski inequality for convex measures in the unconditional case

On the improvement of concavity of convex measures

A note on an $L^{p}$ -Brunn-Minkowski inequality for convex measures in the unconditional case