19 citations · 41 across the 10 of their papers we have counts for
15 papers
Representation theorems for normed modules
Simone Di Marino, Danka Lučić, Enrico Pasqualetto
In this paper we study the structure theory of normed modules, which have been introduced by Gigli. The aim is twofold: to extend von Neumann's theory of liftings to the framework…
First order expansion in the semiclassical limit of the Levy-Lieb functional
Maria Colombo, Simone Di Marino, Federico Stra
We prove the conjectured first order expansion of the Levy-Lieb functional in the semiclassical limit, arising from Density Functional Theory (DFT). This is accomplished by interpr…
Global Lipschitz extension preserving local constants
Simone Di Marino, Nicola Gigli, Aldo Pratelli
The intent of this short note is to extend real valued Lipschitz functions on metric spaces, while locally preserving the asymptotic Lipschitz constant. We then apply this results…
Optimal Transport losses and Sinkhorn algorithm with general convex regularization
Simone Di Marino, Augusto Gerolin
We introduce a new class of convex-regularized Optimal Transport losses, which generalizes the classical Entropy-regularization of Optimal Transport and Sinkhorn divergences, and p…
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Simone Di Marino, Danka Lučić, Enrico Pasqualetto
We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, i…
JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: L p and Sobolev bounds
Simone Di Marino, Filippo Santambrogio
We analyze some parabolic PDEs with different drift terms which are gradient flows in the Wasserstein space and consider the corresponding discrete-in-time JKO scheme. We prove wit…