Abstract
We propose a Kolmogorov-Arnold–Moser type approach to the spectral analysis of lattice Schrödinger operators with quasi-periodic potentials. In the strong disorder regime, we prove uniform exponential localization and establish measure-theoretic bounds on the “resonant” sets which are substantially stronger than in prior studies on localization in deterministic disordered environments.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
