Anti-resonances and sharp analysis of Maryland localization for all parameters

2022/05/09 by Han, Rui, Jitomirskaya, Svetlana, Yang, Fan
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2205.04021

Abstract

We develop the technique to prove localization through the analysis of eigenfunctions in presence of both exponential frequency resonances and exponential phase barriers (anti-resonances) and use it to prove localization for the Maryland model for all parameters.

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