Homogeneity of the spectrum for quasi-periodic Schrödinger operators

Michael Goldstein, David Damanik, Wilhelm Schlag +1

We consider the one-dimensional discrete Schrödinger operator $$[H(x,\omega )\phi ](n)\equiv -\phi (n-1)-\phi (n+1)+V(x+n\omega )\phi (n),$$ $n\in \mathbb{Z}$, $x,\omega \in [0,1]$ with real-ana…