Published 2020
| Published + Submitted
Journal Article
Open
Exact dynamical decay rate for the almost Mathieu operator
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.
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.Attached Files
Published - MRL-2020-0027-0003-a008.pdf
Submitted - 1812.02860.pdf
Files
1812.02860.pdf
Files
(406.6 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:2726654aa2a4c2f778e6d63ce17d085f
|
202.4 kB | Preview Download |
|
md5:d59ad2b844e71e6f1b34f1f348851de4
|
204.3 kB | Preview Download |
Additional details
- Eprint ID
- 105446
- Resolver ID
- CaltechAUTHORS:20200918-101347800
- DMS-1401204
- NSF
- DMS-1901462
- NSF
- DMS-1700314
- NSF
- DMS-2015683
- NSF
- DMS-2000345
- NSF
- 2016-2018
- American Mathematical Society
- 2020-2021
- Southeastern Conference (SEC) Faculty Travel Grant
- EP/K032208/1
- Engineering and Physical Sciences Research Council (EPSRC)
- Created
-
2020-09-18Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field