Singular Continuous Spectrum for a Class of Substitution Hamiltonians II

By David Damanik. 2000

46 citations recorded by the source corpus.

Subfields: Geometry and Topology, Materials Chemistry, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/16278e92431665b62b6e6d448bc0e32db8dda3e1

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In Geometry and Topology

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Citations in the corpus

• Schrödinger operators with dynamically defined potentials (2014, result): “he absence of a pure point components follows in the same generality. There are, however, many results that exclude point spectrum for Schr¨odinger operators generated by primitive substitutions; see [58, 59, 60, 62, 72, 81, 82, 83, 97, 98, 128, 205] for a partial list. It is an interesting open que”
• Strictly Ergodic Subshifts and Associated Operators (2005, background): “A large number of papers deal with the eigenvalue problem for Schrödinger operators generated by primitive substitutions; for example, [7, 14, 22, 30, 31, 32, 34, 59, 78].”