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Substitution-based sequences with absolutely continuous diffraction

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 نشر من قبل Uwe Grimm
 تاريخ النشر 2016
  مجال البحث فيزياء
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Modifying Rudins original construction of the Rudin-Shapiro sequence, we derive a new substitution-based sequence with purely absolutely continuous diffraction spectrum.



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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 se veral examples, including a construction based on Fourier matrices which yields constant-length substitutions for any length.
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