Zobrazeno 1 - 10
of 278
pro vyhledávání: '"Boscain Ugo"'
In this paper we investigate when linearly independent eigenfunctions of the Schr\''odinger operator may have the same modulus. General properties are established and the one-dimensional case is treated in full generality. The study is motivated by i
Externí odkaz:
http://arxiv.org/abs/2403.08341
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 64, Pp 37-53 (2018)
In this paper we review several algorithms for image inpainting based on the hypoelliptic diffusion naturally associated with a mathematical model of the primary visual cortex. In particular, we present one algorithm that does not exploit the informa
Externí odkaz:
https://doaj.org/article/599ee54b20a94ba698993fd055789ec9
Autor:
Leibscher, Monika, Pozzoli, Eugenio, Blech, Alexander, Sigalotti, Mario, Boscain, Ugo, Koch, Christiane P.
Publikováno v:
Physical Review A 109, 012810 (2024)
Achiral molecules can be made temporarily chiral by excitation with electric fields, in the sense that an average over molecular orientations displays a net chiral signal [Tikhonov et al., Sci. Adv. 8, eade0311 (2022)]. Here, we go beyond the assumpt
Externí odkaz:
http://arxiv.org/abs/2310.11570
Autor:
Bellini, Eugenio, Boscain, Ugo
Publikováno v:
ESAIM: COCV, 29 (2023) 79
We consider surfaces embedded in a 3D contact sub-Riemannian manifold and the problem of the finiteness of the induced distance (i.e., the infimum of the length of horizontal curves that belong to the surface). Recently it has been proved that for a
Externí odkaz:
http://arxiv.org/abs/2305.03373
We consider the evolution of a free quantum particle on the Grushin cylinder, under different type of quantizations. In particular we are interested to understand if the particle can cross the singular set, i.e., the set where the structure is not Ri
Externí odkaz:
http://arxiv.org/abs/2304.00867
Autor:
Koch, Christiane P., Boscain, Ugo, Calarco, Tommaso, Dirr, Gunther, Filipp, Stefan, Glaser, Steffen J., Kosloff, Ronnie, Montangero, Simone, Schulte-Herbrüggen, Thomas, Sugny, Dominique, Wilhelm, Frank K.
Publikováno v:
EPJ Quantum Technol. 9, 19 (2022)
Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into one of the cornerstones for enabling quantum te
Externí odkaz:
http://arxiv.org/abs/2205.12110
We say that a control system is locally controllable if the attainable set from any state $x$ contains an open neighborhood of $x$, while it is controllable if the attainable set from any state is the entire state manifold. We show in this note that
Externí odkaz:
http://arxiv.org/abs/2110.06631
Publikováno v:
J. Phys. A: Math. Theor. 55, 215301 (2022)
We present an analytical approach to construct the Lie algebra of finite-dimensional subsystems of the driven asymmetric top rotor. Each rotational level is degenerate due to the isotropy of space, and the degeneracy increases with rotational excitat
Externí odkaz:
http://arxiv.org/abs/2110.03263
The reconstruction mechanisms built by the human auditory system during sound reconstruction are still a matter of debate. The purpose of this study is to refine the auditory cortex model introduced in [9], and inspired by the geometrical modelling o
Externí odkaz:
http://arxiv.org/abs/2103.04608
Two-dimension almost-Riemannian structures of step 2 are natural generalizations of the Grushin plane. They are generalized Riemannian structures for which the vectors of a local orthonormal frame can become parallel. Under the 2-step assumption the
Externí odkaz:
http://arxiv.org/abs/2011.03300