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A Property of m-Tuplings Morse Sequence

A Property of m-Tuplings Morse Sequence
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摘要 The m-tuplings Morse sequence, as a fixed point of a constant length substitution, was discussed. An equivalent definition was given by the property of the m-adie development of the integers. Using the combinatorial properties of the m-tuplings Morse sequence, we mainly obtain this sequenee is an admissible sequence and the other two sequenees generated by it are also admissible sequences, which extends the conclusion that the Thue-Morse sequence is an admissible sequences. The m-tuplings Morse sequence, as a fixed point of a constant length substitution, was discussed. An equivalent definition was given by the property of the m-adie development of the integers. Using the combinatorial properties of the m-tuplings Morse sequence, we mainly obtain this sequenee is an admissible sequence and the other two sequenees generated by it are also admissible sequences, which extends the conclusion that the Thue-Morse sequence is an admissible sequences.
出处 《Wuhan University Journal of Natural Sciences》 CAS 2006年第3期473-476,共4页 武汉大学学报(自然科学英文版)
基金 Supported by the Special Funds for Major StateBasic Research Projects (60472041)
关键词 m-tuplings Morse sequence admissible sequence Thue-Morse sequence m-tuplings Morse sequence admissible sequence Thue-Morse sequence
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参考文献4

  • 1Vilmos Komornik,Paola Loreti.Subexpansions, superexpansions and uniqueness properties in non-integer bases[J].Periodica Mathematica Hungarica.2002(2)
  • 2Michael A. Zaks,Arkady S. Pikovsky,Jürgen Kurths.On the correlation dimension of the spectral measure for the thue-morse sequence[J].Journal of Statistical Physics (-).1996(5-6)
  • 3Michael Drmota,Mariusz Ska?ba.Sign-changes of the Thue-Morse fractal function and Dirichlet L-series[J].Manuscripta Mathematica.1995(1)
  • 4Fran?oise Axel,Jacques Peyrière.Spectrum and extended states in a harmonic chain with controlled disorder: Effects of the Thue-Morse symmetry[J].Journal of Statistical Physics (-).1989(5-6)

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