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. https://resolver.caltech.edu/CaltechAUTHORS:20130815-093031778

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Abstract

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

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/1208.2674	arXiv	Discussion Paper
http://dx.doi.org/10.1007/s00220-013-1743-9	DOI	Article
http://link.springer.com/article/10.1007%2Fs00220-013-1743-9	Publisher	Article
http://rdcu.be/t7qc	Publisher	Free ReadCube access

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.

Funders:

Funding Agency	Grant Number
NSF	DMS-1101578
Simons Foundation	UNSPECIFIED

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DOI:

10.1007/s00220-013-1743-9

Record Number:

CaltechAUTHORS:20130815-093031778

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20130815-093031778

Official Citation:

Jitomirskaya, S. & Krüger, H. Commun. Math. Phys. (2013) 322: 877. doi:10.1007/s00220-013-1743-9

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ID Code:

39941

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

16 Aug 2013 23:04

Last Modified:

09 Nov 2021 23:48

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