19 citations · 91 across the 16 of their papers we have counts for
18 papers
-regularity for Schrödinger potentials of Shannon-entropy regularized Optimal Transport
Sumiya Baasandorj, Simone Di Marino, Augusto Gerolin
We provide the stability of regularity of Schrödinger potentials of Boltzmann-Shannon entropy regularized Optimal Transport under the classical assumption of marginals su…
Universal diagonal estimates for minimizers of the Levy-Lieb functional
Simone Di Marino, Augusto Gerolin, Luca Nenna
Given a wave-function minimizing the Levy-Lieb functional, the intent of this short note is to give an estimate of the probability of the particles being in positions $(x_1, \ldots…
Density Functionals based on the mathematical structure of the strong-interaction limit of DFT
Stefan Vuckovic, Augusto Gerolin, Timothy J. Daas +3
While in principle exact, Kohn-Sham density functional theory -- the workhorse of computational chemistry -- must rely on approximations for the exchange-correlation functional. De…
The strong-interaction limit of density functional theory
Gero Friesecke, Augusto Gerolin, Paola Gori-Giorgi
This is a comprehensive review of the strong-interaction limit of density functional theory. It covers the derivation of the limiting strictly correlated electrons (SCE) functional…
A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature
Dario Feliciangeli, Augusto Gerolin, Lorenzo Portinale
This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting t…
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…