Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Portinale, Lorenzo"'
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 consider both the balanced and unbalanced problem and show in both cases a
Externí odkaz:
http://arxiv.org/abs/2409.03698
We prove fundamental properties of empirical measures induced by measurements performed on quantum $N$-body systems. More precisely, we consider measurements performed on the ground state of an interacting, trapped Bose gase in the Gross--Pitaevskii
Externí odkaz:
http://arxiv.org/abs/2312.00541
Autor:
Portinale, Lorenzo
This survey has been written in occasion of the School and Workshop about Optimal Transport on Quantum Structures at Erd\"os Center in September 2022. We discuss some recent results on noncommutative entropic optimal transport problems and their rela
Externí odkaz:
http://arxiv.org/abs/2310.10142
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, and a newly introduced notion that we call strong Brunn--Minkowski in
Externí odkaz:
http://arxiv.org/abs/2210.01494
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-smooth setting. This condition implies a suitable generalization of the B
Externí odkaz:
http://arxiv.org/abs/2209.13424
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 setting which naturally appears in the framework of deterministic particle
Externí odkaz:
http://arxiv.org/abs/2208.14753
Publikováno v:
Ann. Appl. Probab. 34(2): 1789-1845 (April 2024)
We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain $\Omega$, with both fast and slow boundary. For the random walks on $\Omega$ dual to SEP/SIP we establish: a functional-CLT-type convergence to
Externí odkaz:
http://arxiv.org/abs/2112.14196
This paper deals with the large-scale behaviour of dynamical optimal transport on $\mathbb{Z}^d$-periodic graphs with general lower semicontinuous and convex energy densities. Our main contribution is a homogenisation result that describes the effect
Externí odkaz:
http://arxiv.org/abs/2110.15321
This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensiona
Externí odkaz:
http://arxiv.org/abs/2106.11217
Publikováno v:
In Nonlinear Analysis May 2024 242
