The Hölder continuity of the Lyapunov exponent for a quasi-periodic Szegő cocycle
摘要
In this paper, I consider the Hölder continuity of the Lyapunov exponent for a quasi-periodic Szegő cocycle with weak Liouville frequency. I extend the existing results about the regularity of the Lyapunov exponent from the Schrödinger cocycle in [24] to a Szegöo cocycle.