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.