Zobrazeno 1 - 10
of 228
pro vyhledávání: '"Fractal Weyl law"'
Autor:
Faure, Frédéric, Tsujii, Masato
Publikováno v:
Annales Henri Lebesgue 6 (2023) 331-426
On a closed manifold $M$, we consider a smooth vector field $X$ that generates an Anosov flow. Let $V\in C^{\infty}\left(M;\mathbb{R}\right)$ be a smooth function called potential. It is known that for any $C>0$, there exists some anisotropic Sobolev
Externí odkaz:
http://arxiv.org/abs/1706.09307
Publikováno v:
Annals of Mathematics, 2014 Jan 01. 179(1), 179-251.
Externí odkaz:
http://www.jstor.org/stable/24522774
Publikováno v:
Phys. Rev. E 82, 046201 (2010)
The fractal Weyl law connects the asymptotic level number with the fractal dimension of the chaotic repeller. We provide the first test for the fractal Weyl law for a three-dimensional open scattering system. For the four-sphere billiard, we investig
Externí odkaz:
http://arxiv.org/abs/1008.0718
Publikováno v:
Eur. Phys. J. B 79, 115-120 (2011)
We study the properties of spectrum and eigenstates of the Google matrix of a directed network formed by the procedure calls in the Linux Kernel. Our results obtained for various versions of the Linux Kernel show that the spectrum is characterized by
Externí odkaz:
http://arxiv.org/abs/1005.1395
Publikováno v:
Eur. Phys. J. B 75, 299-304 (2010)
We use the Ulam method to study spectral properties of the Perron-Frobenius operators of dynamical maps in a chaotic regime. For maps with absorption we show that the spectrum is characterized by the fractal Weyl law recently established for nonunita
Externí odkaz:
http://arxiv.org/abs/0912.5083
We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced in [M. Novaes, J.M. Pedrosa, D. Wisniacki, G.G. Carlo, and J.P. Keating, Phys. Rev. E 80, 035202(R) 2009]
Externí odkaz:
http://arxiv.org/abs/1111.6000
We numerically show fractal Weyl law behavior in an open Hamiltonian system that is described by a smooth potential and which supports numerous above-barrier resonances. This behavior holds even relatively far away from the classical limit. The compl
Externí odkaz:
http://arxiv.org/abs/0911.1109
Autor:
Arnoldi, Jean-François
We consider compact Lie groups extensions of expanding maps of the circle, essentially restricting to U(1) and SU(2) extensions. The central object of the paper is the associated Ruelle transfer (or pull-back) operator $\hat{F}$. Harmonic analysis yi
Externí odkaz:
http://arxiv.org/abs/1112.5109
We study the semiclassical quantization of Poincar\'e maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl upper bound for the number of resonances/scattering poles in small dom
Externí odkaz:
http://arxiv.org/abs/1105.3128
Autor:
Wiersig, Jan, Main, Jörg
We demonstrate that the harmonic inversion technique is a powerful tool to analyze the spectral properties of optical microcavities. As an interesting example we study the statistical properties of complex frequencies of the fully chaotic microstadiu
Externí odkaz:
http://arxiv.org/abs/0712.3673