Abstract.
We consider the ergodic family of Schrödinger operators generated by the period doubling substitution and we prove that every element of this family has purely singular continuous spectrum.
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Submitted 25/07/00, accepted 19/09/00
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Damanik, D. Uniform Singular Continuous Spectrum for the Period Doubling Hamiltonian. Ann. Henri Poincaré 2, 101–108 (2001). https://doi.org/10.1007/PL00001028
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DOI: https://doi.org/10.1007/PL00001028