Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces

DOI10.1016/j.aim.2016.02.023zbMath1337.37037arXiv1405.6343OpenAlexW2962991641WikidataQ122951727 ScholiaQ122951727MaRDI QIDQ261202

David Damanik, Peter Yuditskii

Publication date: 22 March 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6343

zbMATH Keywords

absolutely continuous spectrumcharacter-automorphic Hardy spacesalmost-automorphic potentialsalmost-periodic potentialsergodic Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Linear difference operators (47B39)

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