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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front. Math. China    2017, Vol. 12 Issue (3) : 607-639    https://doi.org/10.1007/s11464-017-0619-2
RESEARCH ARTICLE
Uniform positivity of Lyapunov exponent for a class of smooth Schrödinger cocycles with weak Liouville frequencies
Jinhao LIANG1(), Po-Jen KUNG2
1. Department of Mathematics, Nanjing University, Nanjing 210093, China
2. Department of Applied Mathematics, Chiao Tung University, Hsinchu 30010, Taiwan, China
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Abstract

We prove uniform positivity of the Lyapunov exponent for quasiperiodic Schrödinger cocycles with C2 cos-type potentials, large coupling constants, and fixed weak Liouville frequencies.

Keywords Lyapunov exponent      C2 cos-type potential      weak Liouville frequency     
Corresponding Author(s): Jinhao LIANG   
Issue Date: 20 April 2017
 Cite this article:   
Jinhao LIANG,Po-Jen KUNG. Uniform positivity of Lyapunov exponent for a class of smooth Schrödinger cocycles with weak Liouville frequencies[J]. Front. Math. China, 2017, 12(3): 607-639.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-017-0619-2
https://academic.hep.com.cn/fmc/EN/Y2017/V12/I3/607
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