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math.SP2019
Absence of Absolutely Continuous Spectrum for Generic Quasi-Periodic Schrödinger Operators on the Real Line
David Damanik, Daniel Lenz
We show that a generic quasi-periodic Schrödinger operator in has purely singular spectrum. That is, for any minimal translation flow on a finite-dimensional toru…
math.SP2019
Random Sturm-Liouville Operators with Generalized Point Interactions
David Damanik, Rafael del Rio, Asaf L. Franco
In this work we study the point spectra of selfadjoint Sturm-Liouville operators with generalized point interactions, where the two one-sided limits of the solution data are relate…