Speaker:
Laura Shou
Institution:
Caltech
Time:
Thursday, November 6, 2014 - 3:00pm
Location:
RH 340P
For discrete Schrödinger operators with potential given by a trigonometric polynomial of cosines (called generalized Harper's model), we use the complexified Lyapunov exponent to prove a criterion for subcritical energies in the spectrum and a criterion for supercritical energies. This work was done through the Caltech SURF program, with mentor Christoph Marx.