Continuity of the measure of the spectrum for discrete quasiperiodic operators

S. Ya. Jitomirskaya, I. V. Krasovsky

We study discrete Schroedinger operators $(H_{\alpha ,\theta }\psi )(n)=\psi (n-1)+\psi (n+1)+f(\alpha n+\theta )\psi (n)$ on $l^2(Z)$, where $f(x)$ is a real analytic periodic function of period 1. We prove a general t…