Zobrazeno 1 - 10
of 335
pro vyhledávání: '"81Q50"'
Autor:
Harrison, Jon, Pruss, Clare
A discrete analog of quantum unique ergodicity was proved for Cayley graphs of quasirandom groups by Magee, Thomas and Zhao. They show that for large graphs there exist real orthonormal basis of eigenfunctions of the adjacency matrix such that quantu
Externí odkaz:
http://arxiv.org/abs/2411.09028
Periodic orbits (equivalence classes of closed cycles up to cyclic shifts) play an important role in applications of graph theory. For example, they appear in the definition of the Ihara zeta function and exact trace formulae for the spectra of quant
Externí odkaz:
http://arxiv.org/abs/2410.23417
Autor:
Djanković, Goran, Khan, Rizwanur
We obtain an asymptotic for the fourth moment of truncated Eisenstein series of large Laplacian eigenvalue, verifying for the first time that the main term corresponds to Gaussian random behavior. This is a manifestation of the Random Wave Conjecture
Externí odkaz:
http://arxiv.org/abs/2408.14815
Autor:
Moy, Julien
Let $(X,g)$ be a closed, connected surface, with variable negative curvature. We consider the distribution of eigenvalues of the Laplacian on random covers $X_n\to X$ of degree $n$. We focus on the ensemble variance of the smoothed number of eigenval
Externí odkaz:
http://arxiv.org/abs/2408.02808
Autor:
Sen, Sunidhi, Kumar, Santosh
The dissipative spectral form factor (DSFF) has recently emerged as a diagnostic tool for assessing non-integrability or chaos in non-Hermitian systems. It extends the concept of the spectral form factor (SFF), a widely used measure for similar inves
Externí odkaz:
http://arxiv.org/abs/2407.17148
Autor:
Mantica, Giorgio
Publikováno v:
Entropy 2023, 25(7), 1004
I study the scaling behavior in the physical parameters of dynamical entropies, classical and quantum, in a specifically devised model of collision-induced decoherence in a chaotic system. The treatment is fully canonical and no approximations are in
Externí odkaz:
http://arxiv.org/abs/2407.11587
Autor:
Mantica, Giorgio
Publikováno v:
Entropy 2024, 26(7), 572
The multi-particle Arnol'd cat is a generalization of the Hamiltonian system, both classical and quantum, whose period evolution operator is the renown map that bears its name. It is obtained following the Joos-Zeh prescription for decoherence, by ad
Externí odkaz:
http://arxiv.org/abs/2407.11583
Autor:
Marklof, Jens, Monk, Laura
Rudnick recently proved that the spectral number variance for the Laplacian of a large compact hyperbolic surface converges, in a certain scaling limit and when averaged with respect to the Weil-Petersson measure on moduli space, to the number varian
Externí odkaz:
http://arxiv.org/abs/2407.10778
Autor:
de Faveri, Alexandre, Shem-Tov, Zvi
We make progress on the quantum unique ergodicity (QUE) conjecture for Hecke-Maass forms on a congruence quotient of hyperbolic $4$-space, eliminating the possibility of "escape of mass" for these forms.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2405.04221
Autor:
Rahman, Aminur
Experiments violating Bell's inequality appear to indicate deterministic models do not correspond to a realistic theory of quantum mechanics. The theory of pilot waves seemingly overcomes this hurdle via nonlocality and statistical dependence, howeve
Externí odkaz:
http://arxiv.org/abs/2405.00707