Analysis/Mathematical Physics Seminar
Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials
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.
Date & Time
January 25, 2017 | 1:30pm – 2:30pm
Speakers
Christoph Marx
Affiliation
Oberlin College