Acta mathematica scientia,Series A

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On the Correlation Dimension of the Spectral Measure for the m-multiplicative Sequence

Niu Min; Wen Zhixiong   

  1. Department of Mathematics and Mechanics, Beijing University of Science and Technology, Beijing 100083
  • Received:2005-06-30 Revised:2006-05-16 Online:2007-10-25 Published:2007-10-25
  • Contact: Niu Min

Abstract: Using the relation between the decay rate of the correlation function and the characteristics of singular Fourier spectra, the authors give the exact value for the correlation dimension of the spectral measure for the infinite m-multiplicative sequence.

Key words: m-multiplicative sequence, m-tuplings Morse sequence, Correlation dimension

CLC Number: 

  • 11B85
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