Absolutely Continuous Spectrum for the Quasi-periodic Schrdinger Operator in Exponential Regime Institutional Repository Document uri icon

abstract

  • Avila and Jitomirskaya prove that the quasi-periodic Schr"{o}dinger operator $H_{lambda v,alpha, heta}$ has purely absolutely continuous spectrum for $alpha $ in sub-exponential regime (i.e., $\beta(alpha)=0$) with small $lambda$, if $v$ is real analytic in a strip of real axis. In the present paper, we show that for all $alpha$ with $0<\beta(alpha)

author list (cited authors)

  • Liu, W., & Yuan, X.

complete list of authors

  • Liu, Wencai||Yuan, Xiaoping

publication date

  • November 2013