Substitution Hamiltonians with bounded trace map orbits

DOI10.1006/jmaa.2000.6876zbMath0996.37011OpenAlexW2087680163MaRDI QIDQ1587433

David Damanik

Publication date: 20 November 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6876

zbMATH Keywords

discrete one-dimensional Schrödinger operatorssingular continuous spectrumsubstitution Hamiltoniansaperiodic potentialstrace map dynamics

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Symbolic dynamics (37B10) Linear difference operators (47B39)

Related Items (9)

Spectra of discrete Schrödinger operators with primitive invertible substitution potentials ⋮ The spectrum of period-doubling Hamiltonian ⋮ Properties of 1D classical and quantum Ising models: rigorous results ⋮ On the spectrum of 1D quantum Ising quasicrystal ⋮ Volume-preserving maps with an invariant ⋮ Invariants of the trace map and uniform spectral properties for discrete Sturmian Dirac operators ⋮ Bers and Hénon, Painlevé and Schrödinger ⋮ Spectral continuity for aperiodic quantum systems: Applications of a folklore theorem ⋮ Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials

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