For C^k quasi-periodic Schrodinger operators in the local perturbative regime, we prove that the length of the corresponding spectral gap has a polynomial decay upper bound w.r.t. its label. This is based on a refined quantitative reducibility theorem for C^k quasi-periodic SL(2,R) cocycles. As an application, we are able to show the homogeneity of the spectrum.
Date and Venue
Start Date
Venue
FC1.031
Speaker
Ao Cai
Speaker's Institution
Universidade de Lisboa
Area
Dynamical Systems