Speaker:
Qi Zhou
Institution:
Nanjing University
Time:
Thursday, October 29, 2015 - 2:00pm
Location:
RH 340 P
Abstract: For the second phase transition line $\lambda=e^{\beta}$ of almost Mathieu operator, we prove that for dense $\alpha$, the operator has purely singular continuous spectrum for every phases, and for dense $\alpha$, the operator has pure point spectrum for almost every phases. This is joint work with Artur Avila and Svetlana Jitomirskaya.