Holder Continuity of Absolutely Continuous Spectral Measure for Multi-frequency Schrodinger Operators

Abstract

We establish sharp results on the modulus of continuity of the distribution of the spectral measure for multi-frequency Schrodinger operators with Diphantine frequencies and small analytic potentials.

Submitted

References in corpus (3)

• Spectral theory of extended Harper's model and a question by Erdős and Szekeres
• Full measure reducibility and localization for Jacobi operators: a topological criterion
• Absence of point spectrum for the self-dual extended Harper's model