Spectral Properties of One-dimensional Schr Odinger Operators with Potentials Generated by Substitutions

@inproceedings{Bovier1993SpectralPO,
  title={Spectral Properties of One-dimensional Schr Odinger Operators with Potentials Generated by Substitutions},
  author={Anton Bovier and J. L. Ghez},
  year={1993}
}
We investigate one-dimensional discrete Schrr odinger operators whose potentials are invariant under a substitution rule. The spectral properties of these operators can be obtained from the analysis of a dynamical system, called the trace map. We give a careful derivation of these maps in the general case and exhibit some speciic properties. Under an additional, easily veriiable hypothesis concerning the structure of the trace map we present an analysis of their dynamical properties that allows… CONTINUE READING
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