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math.PR2019
A formula for the time derivative of the entropic cost and applications
Giovanni Conforti, Luca Tamanini
In the recent years the Schrödinger problem has gained a lot of attention because of the connection, in the small-noise regime, with the Monge-Kantorovich optimal transport problem…
math.PR2019★ 6 cited
From Harnack inequality to heat kernel estimates on metric measure spaces and applications
Luca Tamanini
Aim of this short note is to show that a dimension-free Harnack inequality on an infinitesimally Hilbertian metric measure space where the heat semigroup admits an integral represe…
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…