Zobrazeno 1 - 10
of 495
pro vyhledávání: '"47B80"'
Autor:
Karabash, Illya M.
Motivated by engineering and photonics research on resonators in random or uncertain environments, we study rigorous randomizations of boundary conditions for wave equations of the acoustic-type in Lipschitz domains $\mathcal{O}$. First, a parametriz
Externí odkaz:
http://arxiv.org/abs/2410.15150
Autor:
Hatinoğlu, Burak
We consider ergodic Jacobi operators and obtain estimates on the Lebesgue measure and the distance between maximum and minimum points of the spectrum in terms of the Lyapunov exponent. Our proofs are based on results from logarithmic potential theory
Externí odkaz:
http://arxiv.org/abs/2407.04962
Autor:
Gorodetski, Anton, Kleptsyn, Victor
We consider discrete Schr\"odinger operators on $\ell^2(\mathbb{Z})$ with bounded random but not necessarily identically distributed values of the potential. We prove spectral localization (with exponentially decaying eigenfunctions) as well as dynam
Externí odkaz:
http://arxiv.org/abs/2403.15970
In this paper we derive novel families of inclusion sets for the spectrum and pseudospectrum of large classes of bounded linear operators, and establish convergence of particular sequences of these inclusion sets to the spectrum or pseudospectrum, as
Externí odkaz:
http://arxiv.org/abs/2401.03984
Autor:
Elgart, Alexander, Klein, Abel
The random XXZ quantum spin chain manifests localization (in the form of quasi-locality) in any fixed energy interval, as previously proved by the authors. In this article it is shown that this property implies slow propagation of information, one of
Externí odkaz:
http://arxiv.org/abs/2311.14188
Autor:
Macera, Davide
In [10] Jitomirskaya, Kr\"uger and Liu analysed the dynamical decay in expectation for the super-critical almost-Mathieu operator in function of the coupling parameter , showing that it is equal to the Lyapunov exponent of its transfer matrix cocycle
Externí odkaz:
http://arxiv.org/abs/2307.07626
We prove a connection between the Green's function of the fractional Anderson model and the two point function of a self-avoiding random walk with long range jumps, adapting a strategy proposed by Schenker in 2015. This connection allows us to exploi
Externí odkaz:
http://arxiv.org/abs/2306.02860
Autor:
Duerinckx, Mitia, Gloria, Antoine
This work relates quantitatively homogenization to Anderson localization for acoustic operators in disordered media. By blending dispersive estimates for homogenized operators and quantitative homogenization of the wave equation, we derive large-scal
Externí odkaz:
http://arxiv.org/abs/2304.14046
We study the Integrated Density of States (IDS) of the random Schr\"odinger operator appearing in the study of certain reinforced random processes in connection with a supersymmetric sigma-model. We rely on previous results on the supersymmetric sigm
Externí odkaz:
http://arxiv.org/abs/2211.10268
Autor:
Elgart, Alexander, Klein, Abel
We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial regi
Externí odkaz:
http://arxiv.org/abs/2210.14873