Lifshitz tails for random acoustic operators

DOI10.1063/1.1558902zbMath1062.35052OpenAlexW2062282798MaRDI QIDQ4832980

Hatem Najar

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1558902

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) PDEs with randomness, stochastic partial differential equations (35R60) Random linear operators (47B80)

Related Items (8)

Results dealing with the behavior of the integrated density of states of random divergence operators ⋮ Lifshitz tails for acoustic waves in random quantum waveguide ⋮ Internal Lifshitz tails for discrete Schrödinger operators ⋮ Lifshitz tails for continuous matrix-valued Anderson models ⋮ Non-Lifshitz tails at the spectral bottom of some random operators ⋮ 2-dimensional localization of acoustic waves in random perturbation of periodic media ⋮ Lifshitz tails for quantum waveguides with random boundary conditions ⋮ The spectrum minimum for random Schrödinger operators with indefinite sign potentials

Cites Work

• Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians
• Comparison theorems for the gap of Schrödinger operators
• Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1
• Localization of classical waves. I: Acoustic waves
• On the spectrum of Schrödinger operators with a random potential
• Internal Lifshits tails for random perturbations of periodic Schrödinger operators.
• On the density of states of Schrodinger operators with a random potential
• An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder
• Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals
• Multi-scale analysis implies strong dynamical localization

This page was built for publication: Lifshitz tails for random acoustic operators