m-可乘序列谱测度的关联维数

数学物理学报

m-可乘序列谱测度的关联维数

牛敏; 文志雄

北京科技大学应用学院数力系北京100083

收稿日期:2005-06-30 修回日期:2006-05-16 出版日期:2007-10-25 发布日期:2007-10-25
通讯作者: 牛敏
基金资助:
国家重点基础研究专项经费(60472041)和数学天元基金(10626003)资

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

Niu Min; Wen Zhixiong

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

摘要/Abstract

摘要： 作者利用关联函数的递减速度与Fourier谱特征之间的关系,计算出无穷m -可乘序列谱测度的关联维数. 且通过对m -可乘序列关联函数的研究,验证了其谱测度是奇异连续的结论.

关键词: m -可乘序列, m-tuplings Morse序列, 关联维数, 谱测度

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

中图分类号:

11B85

牛敏; 文志雄. m-可乘序列谱测度的关联维数[J]. 数学物理学报, 2007, 27(5): 862-870.

Niu Min; Wen Zhixiong. On the Correlation Dimension of the Spectral Measure for the m-multiplicative Sequence[J]. Acta mathematica scientia,Series A, 2007, 27(5): 862-870.