On Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations
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- by Wen Huang and Yingfei Yi
- Proc. Amer. Math. Soc. 140 (2012), 1957-1962
- DOI: https://doi.org/10.1090/S0002-9939-2011-11042-6
- Published electronically: September 26, 2011
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Abstract:
In this paper we consider continuous, $\text {SL}(2,\mathbb {R})$-valued, Schrödinger cocycles over irrational rotations. We prove two generic results on the Lyapunov exponents which improve the corresponding ones contained in a paper by Bjerklöv, Damanik and Johnson.References
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Bibliographic Information
- Wen Huang
- Affiliation: Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, Hefei Anhui 230026, People’s Republic of China
- MR Author ID: 677726
- Email: wenh@mail.ustc.edu.cn
- Yingfei Yi
- Affiliation: School of Mathematics, Jilin University, Changchun, 130012, People’s Republic of China – and – School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
- MR Author ID: 334485
- Email: yi@math.gatech.edu
- Received by editor(s): December 5, 2010
- Received by editor(s) in revised form: January 30, 2011
- Published electronically: September 26, 2011
- Additional Notes: The first author is partially supported by NSFC(10911120388,11071231), Fok Ying Tung Education Foundation and the Fundamental Research Funds for the Central Universities (WK0010000001,WK0010000014).
The second author is partially supported by NSF grant DMS0708331, NSFC Grant 10428101, and a Changjiang Scholarship from Jilin University - Communicated by: Bryna Kra
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1957-1962
- MSC (2010): Primary 37B55; Secondary 37D25
- DOI: https://doi.org/10.1090/S0002-9939-2011-11042-6
- MathSciNet review: 2888183