Damanik, DavidLenz, Daniel2022-06-082022-06-082022Damanik, David and Lenz, Daniel. "Absence of absolutely continuous spectrum for generic quasi-periodic Schrödinger operators on the real line." <i>Israel Journal of Mathematics,</i> 247, (2022) Springer Nature: 783-796. https://doi.org/10.1007/s11856-021-2280-4.https://hdl.handle.net/1911/112457We show that a generic quasi-periodic Schrödinger operator in L2(ℝ) has purely singular spectrum. That is, for any minimal translation flow on a finite-dimensional torus, there is a residual set of continuous sampling functions such that for each of these sampling functions, the Schrödinger operator with the resulting potential has empty absolutely continuous spectrum.engThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Springer Nature.Journal articlehttps://doi.org/10.1007/s11856-021-2280-4