Continuous spectrum for a class of smooth mixing Schrödinger operators

DOI10.1017/ETDS.2017.26zbMath1410.37003arXiv1610.02462OpenAlexW2963666486MaRDI QIDQ4645900

Bassam Fayad, Yan-Hui Qu

Publication date: 11 January 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02462

zbMATH Keywords

mixingvolume-preserving dynamical systemHölder sampling function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Ergodicity, mixing, rates of mixing (37A25) General spectral theory of ordinary differential operators (34L05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Smooth, mixing transformations with loosely Bernoulli Cartesian square

Cites Work

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• Analytic mixing reparametrizations of irrational flows
• Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials.
• Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift

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