Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Di Marino, Simone"'
We provide the first counter-example showing that the ground state energy of electrons in an external Coulomb potential is not always a convex function of the number of electrons. This property had been conjectured to hold for decades and it plays an
Externí odkaz:
http://arxiv.org/abs/2409.08632
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 7, Pp 817-825 (2020)
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, is Hilbert. Our new approach relies upon the properties of the Alberti
Externí odkaz:
https://doaj.org/article/eace3b34fbfa428e9792d527fe44d761
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 $(x_1, \ldots, x_N)$ in the $\delta$-close regime $D_{\delta}= \cup_{i \neq j} \{|x
Externí odkaz:
http://arxiv.org/abs/2303.00496
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
We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals $N$ and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible $N$'s, wh
Externí odkaz:
http://arxiv.org/abs/2201.06859
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 of normed modules, thus providing a notion of precise representative o
Externí odkaz:
http://arxiv.org/abs/2109.03509
Publikováno v:
In Journal de mathématiques pures et appliquées July 2024 187:294-328
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 interpreting the problem as the singular perturbation of an Optimal Transport
Externí odkaz:
http://arxiv.org/abs/2106.06282
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 to give a simple and direct proof of the fact that Sobolev spaces on m
Externí odkaz:
http://arxiv.org/abs/2007.10011
Autor:
Di Marino, Simone, Gerolin, Augusto
We introduce a new class of convex-regularized Optimal Transport losses, which generalizes the classical Entropy-regularization of Optimal Transport and Sinkhorn divergences, and propose a generalized Sinkhorn algorithm. Our framework unifies many re
Externí odkaz:
http://arxiv.org/abs/2007.00976