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