Mixed spectral types for the one frequency discrete quasi-periodic Schrödinger operator

Abstract

We consider a family of one frequency discrete analytic quasi-periodic Schrödinger operators which appear in [Bjer]. We show that this family provides an example of coexistence of absolutely continuous and point spectrum for some parameters as well as coexistence of absolutely continuous and singular continuous spectrum for some other parameters.

References in corpus (2)

• Almost reducibility and absolute continuity I
• Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications