Continuity of Lyapunov Exponent for Quasi-Periodic Gevrey Cocycles

Abstract

It is shown that for the quasi-periodic cocycles in Gevrey space $G^s$ and subexponential Brjuno class frequency $\Omega (\eta )$, the Lyapunov exponent is continuous provided that $1<s+\eta <2$.

11 pages. comments welcome!