Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals

DOI10.1007/s002200200624zbMath1065.47035arXivmath-ph/0106012OpenAlexW2091676688MaRDI QIDQ1849540

Daniel H. Lenz

Publication date: 1 December 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0106012

zbMATH Keywords

Lyapunov exponentCantor spectrumuniform ergodic theoremone-dimensional discrete Schrödinger operatorsaperiodic subshifts

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Random linear operators (47B80) Linear difference operators (47B39)

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