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.