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Published September 2013 | Submitted
Journal Article Open

Exponential Dynamical Localization for the Almost Mathieu Operator

Abstract

We prove that the exponentialmoments of the position operator stay bounded for the supercritical almost Mathieu operator with Diophantine frequency.

Additional Information

© 2013 Springer-Verlag Berlin Heidelberg. Received: 13 August 2012; Accepted: 25 October 2012. Published online: 2 June 2013. The work of S. J. was supported by NSF Grant DMS-1101578. H. K. was supported by a fellowship of the Simons foundation.

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