Hölder Continuity of the Spectral Measures for One-Dimensional Schrödinger Operator in Exponential Regime

Wencai Liu, Xiaoping Yuan

Avila and Jitomirskaya prove that the spectral measure ${\mu }_{\lambda v,\alpha ,x}^f$ of quasi-periodic Schrödinger operator is $1/2$-Hölder continuous with appropriate initial vector $f$, if $\alpha$…