Asymptotic behavior of the integrated density of states of acoustic operators with random long range perturbations
type: Item
instance of: scholarly article
title: Asymptotic behavior of the integrated density of states of acoustic operators with random long range perturbations
zbMATH Open document ID: 1073.82020
author: Hatem Najar
published in: Journal of Statistical Physics
publication date: 2004-08-10T00:00:00Z
review text: The study of the integrated density of states and specially of its behaviour is of interest for its relationship with physical interpretations. The question the author is interested in the paper deals with the behaviour of the integrated density of states at the internal spectral edges of \(A_\omega=- \sum^d_{i=1} \partial_{x_i}{1\over\rho_\omega} \partial_{x_i}\), where \(\rho_\omega\) is a positive and bounded function which represents the mass density or the elasticity contrast of the medium where the wave propagates. Here \(A_\omega\) is a selfadjoint operator on \(L^2(\mathbb{R}^d)\).
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 47B80
Mathematics Subject Classification ID: 60H25
zbMATH DE Number: 2085877
zbMATH Keywords: spectral theory
zbMATH Keywords: random operators
zbMATH Keywords: integrated density of states
zbMATH Keywords: Lifshitz tails
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: b:joss.0000022377.63297.c6
OpenAlex ID: W1988495143
DOI: 10.1023/B:JOSS.0000022377.63297.C6
description: scientific article; zbMATH DE number 2085877