21 citations · 43 across the 16 of their papers we have counts for
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cs.IT2020
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…
math.FA2020★ 2 cited
The dynamical Schrödinger problem in abstract metric spaces
Léonard Monsaingeon, Luca Tamanini, Dmitry Vorotnikov
In this paper we introduce the dynamical Schrödinger problem on abstract metric spaces, defined for a wide class of entropy and Fisher information functionals. Under very mild assu…
math.FA2020★ 1 cited
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.…