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,…
The Brunn--Minkowski inequality implies the CD condition in weighted Riemannian manifolds
Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi
The curvature dimension condition CD(K,N), pioneered by Sturm and Lott--Villani, is a synthetic notion of having curvature bounded below and dimension bounded above, in the non-smo…
Optimal transport with nonlinear mobilities: a deterministic particle approximation result
Simone Di Marino, Lorenzo Portinale, Emanuela Radici
We study the discretization of generalized Wasserstein distances with nonlinear mobilities on the real line via suitable discrete metrics on the cone of N ordered particles, a sett…
Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains
Lorenzo Dello Schiavo, Lorenzo Portinale, Federico Sau
We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain , with both fast and slow boundary. For the random walks on dual t…
Homogenisation of dynamical optimal transport on periodic graphs
Peter Gladbach, Eva Kopfer, Jan Maas +1
This paper deals with the large-scale behaviour of dynamical optimal transport on -periodic graphs with general lower semicontinuous and convex energy densities. Our…
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…
Evolutionary -convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions
Dominik Forkert, Jan Maas, Lorenzo Portinale
We consider finite-volume approximations of Fokker-Planck equations on bounded convex domains in and study the corresponding gradient flow structures. We reprove the…
Penalization via global functionals of optimal-control problems for dissipative evolution
Lorenzo Portinale, Ulisse Stefanelli
We consider an optimal control problem for an abstract nonlinear dissipative evolution equation. The differential constraint is penalized by augmenting the target functional by a n…
Homogenisation of one-dimensional discrete optimal transport
Peter Gladbach, Eva Kopfer, Jan Maas +1
This paper deals with dynamical optimal transport metrics defined by spatial discretisation of the Benamou--Benamou formula for the Kantorovich metric . Such metrics appear na…