00-44 Francois Germinet, Svetlana Jitomirskaya

Strong Dynamical Localization for the almost Mathieu model (318K, .PS) Jan 27, 00

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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 $\lambda\geq 15.$

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