|Analysis Math-Physics Seminar|
|Topic:||Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials|
|Date:||Wednesday, January 25|
|Time/Room:||1:30pm - 2:30pm/S-101|
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.