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This document is comprised of a collection of updated preliminary parameters for the key parts of the muon collider. The updated preliminary parameters follow on from the October 2023 Tentative Parameters Report. Particular attention has been given t
Externí odkaz:
http://arxiv.org/abs/2411.02966
We provide the first counterexample 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 convexity has been conjectured for decades and plays an important
Externí odkaz:
http://arxiv.org/abs/2409.08632
Autor:
De Pascale, Luigi, Nenna, Luca
We propose a MFG model with quadratic Hamiltonian involving $N$ populations. This results in a system of $N$ Hamilton-Jacobi-Bellman and $N$ Fokker-Planck equations with non-local interactions. As in the classical case we introduce an Eulerian variat
Externí odkaz:
http://arxiv.org/abs/2408.03118
We characterize the solution to the entropically regularized optimal transport problem by a well-posed ordinary differential equation (ODE). Our approach works for discrete marginals and general cost functions, and in addition to two marginal problem
Externí odkaz:
http://arxiv.org/abs/2403.20238
Autor:
Nenna, Luca, Pegon, Paul
Publikováno v:
Canadian Journal of Mathematics, March 2024, First View, pp. 1-21
We investigate the convergence rate of multi-marginal optimal transport costs that are regularized with the Boltzmann-Shannon entropy, as the noise parameter $\varepsilon$ tends to $0$. We establish lower and upper bounds on the difference with the u
Externí odkaz:
http://arxiv.org/abs/2307.03023
Autor:
Ehrlacher, Virginie, Nenna, Luca
The aim of this paper is to present new sparsity results about the so-called Lieb functional, which is a key quantity in Density Functional Theory for electronic structure calculations of molecules. The Lieb functional was actually shown by Lieb to b
Externí odkaz:
http://arxiv.org/abs/2306.00806
Autor:
Silvia Bloise, Raffaella Nenna, Laura Petrarca, Maria Giulia Conti, Greta Di Mattia, Luigi Matera, Enrica Mancino, Domenico Paolo La Regina, Riccardo Lubrano, Enea Bonci, Corrado Moretti, Fabio Midulla
Publikováno v:
Italian Journal of Pediatrics, Vol 50, Iss 1, Pp 1-8 (2024)
Abstract Background Recently, the development of advanced, noninvasive methods has allowed the study of respiratory function even in uncooperative infants. To date, there is still little data on the application of this technique in infants with suspe
Externí odkaz:
https://doaj.org/article/feaebeafc0bd4e7f924e348e98298340
Autor:
Maria Giulia Conti, Fabiola Del Parco, Francesca Maria Pulcinelli, Enrica Mancino, Laura Petrarca, Raffaella Nenna, Greta Di Mattia, Luigi Matera, Domenico Paolo La Regina, Enea Bonci, Cinthia Caruso, Fabio Midulla
Publikováno v:
Italian Journal of Pediatrics, Vol 50, Iss 1, Pp 1-7 (2024)
Abstract Background The term “sharenting” describes the increasingly popular habit of parents to share photos, videos, or other information regarding their children on their social profiles, through online platforms. It is highly likely that many
Externí odkaz:
https://doaj.org/article/bc9f34e8591544eaba9e59923b216d19
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
Autor:
Nenna, Luca, Pass, Brendan
The purpose of this paper is to introduce a new numerical method to solve multi-marginal optimal transport problems with pairwise interaction costs. The complexity of multi-marginal optimal transport generally scales exponentially in the number of ma
Externí odkaz:
http://arxiv.org/abs/2212.12492