Analyticity of density of states for the Cauchy distribution

TL;DR

This paper demonstrates that the density of states for a broad class of random operators with Cauchy distribution is analytic in a strip around the real axis, providing new insights into spectral properties.

Contribution

It establishes the analyticity of the density of states for the Cauchy distribution across a wide class of random operators, extending previous results.

Findings

Density of states is analytic in a strip about the real axis.

Analyticity holds for a large class of random operators with Cauchy distribution.

Provides a rigorous foundation for spectral analysis of such operators.

Abstract

We compute the density of states for the Cauchy distribution for a large class of random operators and show it is analytic in a strip about the real axis.