# Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials

 Analysis Math-Physics Seminar Topic: Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials Speaker: Christoph Marx Affiliation: Oberlin College Date: Wednesday, January 25 Time/Room: 1:30pm - 2:30pm/S-101 Video Link: https://video.ias.edu/mathphysics/2017/0125-ChristophMarx

In this talk we will quantify the coupling asymptotics for the Lyapunov exponent (LE) of a one-frequency quasi-periodic Schrödinger operator with analytic potential sampling function. By proving an asymptotic formula for the LE valid for all irrational frequencies, our result refines the well-known lower bound by Sorets and Spencer.