Svetlana Jitomirskaya (Irvine)

Analytic one-frequency cocycles

Abstract: We consider analytic cocycles of d \times d matrices. We prove joint continuity (depending on frequency and the analytic function of d \times d matrices) of all Lyapunov exponents at irrational frequencies. The proof is conceptually new, even for the $d=2$ case. This leads to quantization of acceleration and other strong consequences. Based on joint work with A. Avila and C. Sadel.