Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles

2018/06/08 by Liang, Jinhao, Wang, Yiqian, You, Jiangong
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.03284

Abstract

We prove the Hölder continuity of the Lyapunov exponent for quasi-periodic Schrödinger cocycles with a C² cos-type potential and any fixed Liouvillean frequency, provided the coupling constant is sufficiently large. Moreover, the Hölder exponent is independent of the frequency and the coupling constant.

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