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Substitution-based structures with absolutely continuous spectrum

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 نشر من قبل Uwe Grimm
 تاريخ النشر 2017
  مجال البحث فيزياء
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By generalising Rudins construction of an aperiodic sequence, we derive new substitution-based structures which have purely absolutely continuous diffraction and mixed dynamical spectrum, with absolutely continuous and pure point parts. We discuss several examples, including a construction based on Fourier matrices which yields constant-length substitutions for any length.



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