Pure Mathematics Seminars Spring 2013

19 February 2013 (Joint Pure Seminar/London Analysis Seminar) - 4pm in Room 500

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.

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