Pure point spectrum for the Maryland model: a constructive proof

TL;DR

This paper introduces a constructive approach to establish the pure point spectrum of the Maryland model when the frequencies satisfy Diophantine conditions, advancing understanding of spectral properties in quasi-periodic systems.

Contribution

A new constructive method is developed to prove pure point spectrum for the Maryland model with Diophantine frequencies, providing a more explicit analysis than previous approaches.

Findings

Successfully proves pure point spectrum for the model

Provides a constructive proof method

Enhances understanding of spectral properties in quasi-periodic systems

Abstract

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