6 citations · 7 across the 4 of their papers we have counts for
9 papers
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps
Hugo Lavenant, Léonard Monsaingeon, Luca Tamanini +1
If is a harmonic map valued in a metric space and is a convex function, in the sense that it ge…
A generalization of Costa's Entropy Power Inequality
Luca Tamanini
Aim of this short note is to study Shannon's entropy power along entropic interpolations, thus generalizing Costa's concavity theorem. We shall provide two proofs of independent in…
Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
Matthias Erbar, Chiara Rigoni, Karl-Theodor Sturm +1
We develop the theory of tamed spaces which are Dirichlet spaces with distribution-valued lower bounds on the Ricci curvature and investigate these from an Eulerian point of view.…
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…
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…
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…