Zobrazeno 1 - 10
of 4 595
pro vyhledávání: '"Nobili, P."'
Autor:
Nobili, Francesco, Violo, Ivan Yuri
We study fine P\'olya-Szeg\H{o} rearrangement inequalities into weighted intervals for Sobolev functions and functions of bounded variation defined on metric measure spaces supporting an isoperimetric inequality. We then specialize this theory to spa
Externí odkaz:
http://arxiv.org/abs/2409.14182
Autor:
Santagata, Luca, De Nobili, Cristiano
In this paper, we investigate the presence of additive bias in Large Language Models (LLMs), drawing a parallel to the cognitive bias observed in humans where individuals tend to favor additive over subtractive changes. Using a series of controlled e
Externí odkaz:
http://arxiv.org/abs/2409.02569
The remnant black hole from a binary coalescence emits ringdown gravitational waves characterized by quasi-normal modes, which depend solely on the remnant's mass and spin. In contrast, the ringdown amplitudes and phases are determined by the propert
Externí odkaz:
http://arxiv.org/abs/2408.05276
Autor:
Nobili, Francesco, Novaga, Matteo
We study periodic tessellations of the Euclidean space with unequal cells arising from the minimization of perimeter functionals. Existence results and qualitative properties of minimizers are discussed for different classes of problems, involving lo
Externí odkaz:
http://arxiv.org/abs/2406.12461
Autor:
Nobili, Francesco, Parise, Davide
We study quantitative stability results for different classes of Sobolev inequalities on general compact Riemannian manifolds. We prove that, up to constants depending on the manifold, a function that nearly saturates a critical Sobolev inequality is
Externí odkaz:
http://arxiv.org/abs/2405.15966
Autor:
Bleitner, Fabian, Nobili, Camilla
We consider the two-dimensional Rayeigh-B\'enard convection problem between Navier-slip fixed-temperature boundary conditions and present a new upper bound for the Nusselt number. The result, based on a localization principle for the Nusselt number a
Externí odkaz:
http://arxiv.org/abs/2404.14936
The climate change emergency calls for a reduction in energy consumption in all human activities and production processes. The radio broadcasting industry is no exception. However, reducing energy requirements by uniformly cutting the radiated power
Externí odkaz:
http://arxiv.org/abs/2310.19492
This paper investigates the large-time behavior of a buoyancy-driven fluid without thermal diffusion under Navier-slip boundary conditions in a bounded domain with Lipschitz-continuous second derivatives. After establishing improved regularity for cl
Externí odkaz:
http://arxiv.org/abs/2309.05400
Cluster synchronization is of paramount importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are closely associated with various malfunctions, such as neurologica
Externí odkaz:
http://arxiv.org/abs/2308.07302
Autor:
Nobili, Alberto Maria, Qin, Yuzhen, Avizzano, Carlo Alberto, Bassett, Danielle S., Pasqualetti, Fabio
Publikováno v:
Proceedings of the 2022 American Control Conference, San Diego, May, 2022
Many natural and man-made network systems need to maintain certain patterns, such as working at equilibria or limit cycles, to function properly. Thus, the ability to stabilize such patterns is crucial. Most of the existing studies on stabilization a
Externí odkaz:
http://arxiv.org/abs/2308.05823