2 papers
math.PR2023
Covariance inequalities for convex and log-concave functions
Michel Bonnefont, Erwan Hillion, Adrien Saumard
Extending results of Harg{é} and Hu for the Gaussian measure, we prove inequalities for the covariance Cov where is a general product probability measure on $\mathbb{…
math.PR2014
Entropy along W_{1,+}-geodesics on graphs
Erwan Hillion
We study the convexity of the entropy functional along particular interpolating curves defined on the space of finitely supported probability measures on a graph.