Zobrazeno 1 - 10
of 6 680
pro vyhledávání: '"Cucinotta A"'
Cloud Computing has established itself as an efficient and cost-effective paradigm for the execution of web-based applications, and scientific workloads, that need elasticity and on-demand scalability capabilities. However, the evaluation of novel re
Externí odkaz:
http://arxiv.org/abs/2408.13386
The potential of transformer-based LLMs risks being hindered by privacy concerns due to their reliance on extensive datasets, possibly including sensitive information. Regulatory measures like GDPR and CCPA call for using robust auditing tools to add
Externí odkaz:
http://arxiv.org/abs/2406.16565
Density functional theory (DFT) combined with non-equilibrium Greens functions (NEGF) is a powerful approach to model quantum transport under external bias potentials, at reasonable computational cost. In this work we present a new interface between
Externí odkaz:
http://arxiv.org/abs/2406.11494
Autor:
Cucinotta, Alessandro, Mondino, Andrea
We prove a warped product splitting theorem for manifolds with Ricci curvature bounded from below in the spirit of [Croke-Kleiner, Duke Math. J. (1992)], but instead of asking that one boundary component is compact and mean convex, we require that it
Externí odkaz:
http://arxiv.org/abs/2406.09784
Autor:
Cucinotta, Alessandro
The goal of this note is to prove convergence results w.r.t. the area functional on metric measure spaces with a lower Ricci curvature bound. The paper can be divided in two parts. In the first part, we show that the heat flow provides good approxima
Externí odkaz:
http://arxiv.org/abs/2405.11938
We show that the Hausdorff dimension of the singular set of perimeter minimizers in non-collapsed Ricci limit spaces with a two-sided Ricci curvature bound is at most $N-5$, where $N$ is the dimension of the ambient space. The estimate is sharp.
Externí odkaz:
http://arxiv.org/abs/2405.05775
Autor:
Pak, Sungmin, Cucinotta, Francis A.
Astronauts participating in lunar landing missions will encounter exposure to albedo particles emitted from the lunar surface as well as primary high-energy particles in the spectra of galactic cosmic rays (GCRs) and solar particle events (SPEs). Whi
Externí odkaz:
http://arxiv.org/abs/2405.00143
Autor:
Cucinotta, Alessandro
We show that if $(X,d,m)$ is an RCD(K,N) space and $u \in W^{1,1}_{loc}(X)$ is a solution of the minimal surface equation, then $u$ is harmonic on its graph (which has a natural metric measure space structure). If K=0 this allows to obtain an Harnack
Externí odkaz:
http://arxiv.org/abs/2403.02406
Autor:
Cucinotta, Alessandro
We study the properties of the set where a generalized function of bounded variation has infinite approximate limit, highlighting in this way the main geometric difference with functions of bounded variation. To this aim we prove a new result on stri
Externí odkaz:
http://arxiv.org/abs/2402.13078
Autor:
Cucinotta, Alessandro, Mondino, Andrea
The goal of this note is to prove the Half Space Property for $RCD(0,N)$ spaces, namely that if $(X,d,m)$ is a parabolic $RCD(0,N)$ space and $ C \subset X \times \mathbb{R}$ is locally the boundary of a locally perimeter minimizing set and it is con
Externí odkaz:
http://arxiv.org/abs/2402.12230