Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 3: 607 - 639

DOI: 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 LIANG , 1 ,
  • Po-Jen KUNG 2
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  • 1. Department of Mathematics, Nanjing University, Nanjing 210093, China
  • 2. Department of Applied Mathematics, Chiao Tung University, Hsinchu 30010, Taiwan, China

Received date: 15 Aug 2016

Accepted date: 29 Nov 2016

Published date: 20 Apr 2017

Copyright

2017 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Lyapunov exponent; C2 cos-type potential; weak Liouville frequency

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]. Frontiers of Mathematics in China, 2017 , 12(3) : 607 -639 . DOI: 10.1007/s11464-017-0619-2

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