Francois Germinet, Svetlana Jitomirskaya
Strong Dynamical Localization for the almost Mathieu model
(318K, .PS)
ABSTRACT. In this note we prove Strong Dynamical Localization for the almost
Mathieu operator $H_{\theta,\lambda,\omega}=-\Delta+\lambda\cos(2\pi
(\theta+x\omega))$ for all $\lambda>2$ and Diophantine frequencies
$\omega$. This improves the previous known result \cite{JL,Ge} which
established Dynamical Localization for a.e. $\theta$ and for
$\lambda\geq 15.$