Uniform positivity of Lyapunov exponent for a class of smooth Schrodinger cocycles with weak Liouville frequencies

Liang Jinhao; Kung Po-Jen

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Uniform positivity of Lyapunov exponent for a class of smooth Schrodinger cocycles with weak Liouville frequencies

机译：一类弱Liouville频率的光滑Schrodinger环的Lyapunov指数的一致正性。

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摘要

We prove uniform positivity of the Lyapunov exponent for quasiperiodic Schrodinger cocycles with C (2) cos-type potentials, large coupling constants, and fixed weak Liouville frequencies.

机译：我们证明了Lyapunov指数对于具有C（2）cos型势，大耦合常数和固定弱Liouville频率的拟周期Schrodinger cocycles具有统一的正性。

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来源
《Frontiers of mathematics in China》 |2017年第3期|607-639|共33页
作者
Liang Jinhao; Kung Po-Jen;
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作者单位

Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China;

Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan;

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原文格式 PDF
正文语种 eng
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关键词
Lyapunov exponent; C-2 cos-type potential; weak Liouville frequency;

机译：李雅普诺夫指数;C-2 cos型势;弱路易斯频率;

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3. H?lder continuity of the Lyapunov exponent for analytic quasiperiodic Schr?dinger cocycle with weak Liouville frequency [J] . JIANGONG YOU, SHIWEN ZHANG Ergodic Theory and Dynamical Systems . 2014,第Pta4期

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7. Uniform Positivity and Continuity of Lyapunov Exponents for a Class of $C^2$ Quasiperiodic Schr"odinger Cocycles [O] . Wang, Yiqian, Zhang, Zhenghe 2013

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8. Lyapunov Exponents for Some Quasi-Periodic Cocycles [R] . Young, L. S. 1993

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Uniform positivity of Lyapunov exponent for a class of smooth Schrodinger cocycles with weak Liouville frequencies

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