4 citations · 10 across the 12 of their papers we have counts for
14 papers
Quantum thermodynamics and semidefinite programming: regularization and algorithms
Emanuele Caputo, Augusto Gerolin, Nataliia Monina +2
We investigate variational problems in quantum thermodynamics at positive temperature, in which admissible states are constrained by prescribed outcomes of a finite set of measurem…
Stochastic homogenisation of nonlinear minimum-cost flow problems
Peter Gladbach, Jan Maas, Lorenzo Portinale
This paper deals with the large-scale behaviour of nonlinear minimum-cost flow problems on random graphs. In such problems, a random nonlinear cost functional is minimised among al…
Quantum optimal transport with convex regularization
Emanuele Caputo, Augusto Gerolin, Nataliia Monina +1
The goal of this paper is to settle the study of non-commutative optimal transport problems with convex regularization, in their static and finite-dimensional formulations. We cons…
Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs
Lorenzo Portinale, Filippo Quattrocchi
We prove discrete-to-continuum convergence for dynamical optimal transport on -periodic graphs with energy density having linear growth at infinity. This result provi…
Entropic regularised optimal transport in a noncommutative setting
Lorenzo Portinale
This survey has been written in occasion of the School and Workshop about Optimal Transport on Quantum Structures at Erdös Center in September 2022. We discuss some recent results…
The strong Brunn--Minkowski inequality and its equivalence with the CD condition
Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi
In the setting of essentially non-branching metric measure spaces, we prove the equivalence between the curvature dimension condition CD(K,N), in the sense of Lott--Sturm--Villani,…