Abstract
In this paper we study the behavior of the integrated density of states of random acoustic operators of the form Aω=—∇1/ϱω∇. When ϱ ω is considered as an Anderson type long range perturbations of some periodic function, the behavior of the integrated density of states of A ω in the vicinity of the internal spectral edges is given.
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Najar, H. Asymptotic Behavior of the Integrated Density of States of Acoustic Operators with Random Long Range Perturbations. Journal of Statistical Physics 115, 977–996 (2004). https://doi.org/10.1023/B:JOSS.0000022377.63297.c6
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DOI: https://doi.org/10.1023/B:JOSS.0000022377.63297.c6