Linearly recurrent circle map subshifts and an application to Schrödinger operators

DOI10.1007/s00023-002-8647-0zbMath1023.47019OpenAlexW2098791131MaRDI QIDQ1854635

David Damanik, Boris Adamczewski

Publication date: 20 August 2003

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-002-8647-0

zbMATH Keywords

Schrödinger operatorspectral theorylinear recurrencecircle mappurely singular continuous spectrumCantor set of zero Lebesgue measure

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Difference operators (39A70) Linear difference operators (47B39) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (7)

COMBINATORIAL PROPERTIES OF ARNOUX–RAUZY SUBSHIFTS AND APPLICATIONS TO SCHRÖDINGER OPERATORS ⋮ Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials ⋮ Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors ⋮ Quasiperiodicity and phase locking in stochastic circle maps: a spectral approach ⋮ Note on powers in three interval exchange transformations ⋮ On powers of words occurring in binary codings of rotations ⋮ A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem

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