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Exponential Dynamical Localization for the Almost Mathieu Operator

Jitomirskaya, Svetlana and Krüger, Helge (2013) Exponential Dynamical Localization for the Almost Mathieu Operator. Communications in Mathematical Physics, 322 (3). pp. 877-882. ISSN 0010-3616. doi:10.1007/s00220-013-1743-9.

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

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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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Simons FoundationUNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:20130815-093031778
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Official Citation:Jitomirskaya, S. & Krüger, H. Commun. Math. Phys. (2013) 322: 877. doi:10.1007/s00220-013-1743-9
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39941
Deposited By: Tony Diaz
Deposited On:16 Aug 2013 23:04
Last Modified:09 Nov 2021 23:48

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