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Substitution-based structures with absolutely continuous spectrum

107   0   0.0 ( 0 )
 Added by Uwe Grimm
 Publication date 2017
  fields Physics
and research's language is English




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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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