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

Abstract

We show there is a countable dense set of energies at which the integrated density of states of the 1D discrete Anderson-Bernoulli model can be given explicitly and does not depend on the disorder parameter, provided the latter is above an energy-dependent threshold.

arXiv comment10 Pages, 3 Figures. v2: Final version, to appear in JMP

References in corpus (2)

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