Abstract
We consider a random displacements model in a Euclidean space with an infinite-range, polynomially decaying interaction potential, without assuming any symmetry properties of the latter, and give an elementary proof of eigenvalue concentration estimates without resorting to a more traditional Wegner-type analysis or explicit ground state energy minimization. In the strong disorder/semi-classical regime, we prove exponential spectral and dynamical localization, with sub-exponential decay of the eigenfunction correlators. Prior works focused on compactly supported interactions.
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.
