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
![]() |
PDF
- Published Version
See Usage Policy. 204kB |
![]() |
PDF
- Submitted Version
See Usage Policy. 202kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20200918-101347800
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.
Item Type: | Article | ||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||||||||||||||
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. | ||||||||||||||||||
Funders: |
| ||||||||||||||||||
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 |
Repository Staff Only: item control page