Sharp Bounds for the Integrated Density of States of a Strongly Disordered 1D Anderson-Bernoulli Model

Abstract

In this article we give upper and lower bounds for the integrated density of states (IDS) of the 1D discrete Anderson-Bernoulli model when the disorder is strong enough to separate the two spectral bands. These bounds are uniform on the disorder and hold over the whole spectrum. They show the existence of a sequence of energies in which the value of the IDS can be given explicitly and does not depend on the disorder parameter.

arXiv comment13 Pages, 5 Figures. v2: Final version, to appear in JMP

References in corpus (3)

• Delocalization in random polymer models
• Lifshitz tails for the 1D Bernoulli-Anderson model
• Lifschitz Tails for Random Schrödinger Operator in Bernoulli Distributed Potentials

Cited by in corpus (1)

• The Integrated Density of States of the 1D Discrete Anderson-Bernoulli Model at Rational Energies