Published September 2013 | Version Submitted
Journal Article Open

Exponential Dynamical Localization for the Almost Mathieu Operator

  • 1. ROR icon University of California, Irvine
  • 2. ROR icon California Institute of Technology

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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Additional details

Identifiers

Eprint ID
39941
Resolver ID
CaltechAUTHORS:20130815-093031778

Related works

Funding

NSF
DMS-1101578
Simons Foundation

Dates

Created
2013-08-16
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field