Pure point spectrum for the Maryland model: a constructive proof

Abstract

We develop a constructive method to prove and study pure point spectrum for the Maryland model with Diophantine frequencies.

References in corpus (4)

• Arithmetic Spectral Transitions for the Maryland Model
• An exact renormalization formula for the Maryland model
• Critical integer quantum Hall topology and the integrable Maryland model as a topological quantum critical point
• Anderson Localization for the Almost Mathieu Operator in Exponential Regime

Cited by in corpus (5)

• Exact mobility edges for 1D quasiperiodic models
• Exact mobility edges for almost-periodic CMV matrices via gauge symmetries
• Perturbative diagonalisation for Maryland-type quasiperiodic operators with flat pieces
• Arithmetic Phase Transitions For Mosaic Maryland Model
• Anderson Localization for Long-Range operators with Singular Potentials