Hlder Continuity of the Spectral Measures for One-Dimensional Schrdinger Operator in Exponential Regime

Avila and Jitomirskaya prove that the spectral measure $mu_{lambda v, alpha,x}^f$ of quasi-periodic Schr"{o}dinger operator is $1/2$-H"{o}lder continuous with appropriate initial vector $f$, if $alpha $ satisfies Diophantine condition and $lambda$ is small. In the present paper, the conclusion is extended to that for all $alpha$ with $\beta(alpha)

Hlder Continuity of the Spectral Measures for One-Dimensional Schrdinger Operator in Exponential Regime Institutional Repository Document