Monday, June 2, 2014

Almost reducibility of quasi-periodic cocycles and its applications to almost Mathieu operators

Qi Zhou
(Paris 6)

Abstract: In this talk I will discuss recent developments of almost reducibility theory of one dimension analytic quasi-periodic cocycles, especially with Liouvillean base frequency. As applications, we will use them to prove phase transition of almost Mathieu operators and the dry ten Martini problem in the non-critical case. This is joint work with Artur Avila and Jiangong You.

Monday, June 2, 2014
Time: 14h30
Room: Sala Unicre, Edificio Quelhas, ISEG