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Holder continuity of Lyapunov exponent for a family of smooth Schrodinger cocycles

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 نشر من قبل Jinhao Liang
 تاريخ النشر 2018
  مجال البحث
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We prove the Holder continuity of the Lyapunov exponent for quasi-periodic Schrodinger cocycles with a $C^2$ cos-type potential and any fixed Liouvillean frequency, provided the coupling constant is sufficiently large. Moreover, the Holder exponent is independent of the frequency and the coupling constant.



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