Jitomirskaya, Svetlana and Krüger, Helge and Liu, Wencai (2020) Exact dynamical decay rate for the almost Mathieu operator. Mathematical Research Letters, 27 (3). pp. 789-808. ISSN 1073-2780. doi:10.4310/mrl.2020.v27.n3.a8. https://resolver.caltech.edu/CaltechAUTHORS:20200918-101347800
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Abstract
We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov exponent, for supercritical almost Mathieu operators with Diophantine frequencies.
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| Additional Information: | © 2020 by International Press of Boston, Inc. Received 6 December 2018; Accepted 8 June 2019. S.J. was supported by NSF DMS-1401204 and DMS-1901462. W. L. was supported by NSF DMS-1700314/2015683, DMS-2000345, the AMS-Simons Travel Grant 2016-2018 and the Southeastern Conference (SEC) Faculty Travel Grant 2020-2021. S.J. and W.L. are grateful to the Isaac Newton Institute for Mathematical Sciences, Cambridge, for its hospitality, supported by EPSRC Grant Number EP/K032208/1, during the 2015 programme Periodic and Ergodic Spectral Problems where an important progress on this work was made. | ||||||||||||||||||
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| Issue or Number: | 3 | ||||||||||||||||||
| DOI: | 10.4310/mrl.2020.v27.n3.a8 | ||||||||||||||||||
| Record Number: | CaltechAUTHORS:20200918-101347800 | ||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200918-101347800 | ||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||
| ID Code: | 105446 | ||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||
| Deposited On: | 18 Sep 2020 17:56 | ||||||||||||||||||
| Last Modified: | 16 Nov 2021 18:43 |
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