Arithmetic version of anderson localization for quasiperiodic Schrodinger operators with even cosine type potentials

We propose a new method to prove Anderson localization for quasiperiodic Schrodinger operators and apply it to the quasiperiodic model considered by Sinai and Frohlich-Spencer-Wittwer. More concretely, we prove Anderson localization for even $C^2$ cosine type quasiperiodic Schrodinger operators with large coupling constants, Diophantine frequencies and Diophantine phases.