21 citations · 43 across the 16 of their papers we have counts for
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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…
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
We prove the second order differentiation formula along geodesics in finite-dimensional spaces. Our approach strongly relies on the approximation of -geodesics by e…
Benamou-Brenier and duality formulas for the entropic cost on spaces
Nicola Gigli, Luca Tamanini
In this paper we prove that, within the framework of spaces with , the entropic cost (i.e. the minimal value of the Schrödinger problem) admits: - a threef…
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
Aim of this paper is to prove the second order differentiation formula for functions along geodesics in spaces with . This formula is new even in…