H\"older continuity of Lyapunov exponent for a family of smooth Schr\"odinger cocycles
classification
🧮 math.DS
keywords
exponentoldercocyclesconstantcontinuitycouplingfrequencylyapunov
read the original abstract
We prove the H\"older continuity of the Lyapunov exponent for quasi-periodic Schr\"odinger cocycles with a $C^2$ cos-type potential and any fixed Liouvillean frequency, provided the coupling constant is sufficiently large. Moreover, the H\"older exponent is independent of the frequency and the coupling constant.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.