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math.PR2018
Around the entropic Talagrand inequality
Giovanni Conforti, Luigia Ripani
In this article we study generalization of the classical Talagrand transport-entropy inequality in which the Wasserstein distance is replaced by the entropic transportation cost. T…
math.PR2018
An entropic interpolation proof of the HWI inequality
Ivan Gentil, Christian Léonard, Luigia Ripani +1
We present a pathwise proof of the HWI inequality which is based on en-tropic interpolations rather than displacement ones. Unlike the latter, entropic interpolations are regular b…
math.PR2018
Dynamical aspects of generalized Schr{ö}dinger problem via Otto calculus -- A heuristic point of view
Ivan Gentil, Christian Léonard, Luigia Ripani
The defining equation of a gradient flow is kinetic in essence. This article explores some dynamical (rather than kinetic) features of gradient flow…