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Multiformity of inherent randomicity and visitation density in n symbolic dynamics

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  • Zhang, Yagang
  • Wang, Changjiang

Abstract

The multiformity of inherent randomicity and visitation density in n symbolic dynamics will be clarified in this paper. These stochastic symbolic sequences bear three features. The distribution of frequency, inter-occurrence times and the alignment of two random sequences are amplified in detail. The features of visitation density in surjective maps presents catholicity and the catholicity in n letters randomicity has the same measure foundation. We hope to offer a symbolic platform that satisfies these stochastic properties and to attempt to study certain properties of DNA base sequences, 20 amino acids symbolic sequences of proteid structure, and the time series that can be symbolic in finance market et al.

Suggested Citation

  • Zhang, Yagang & Wang, Changjiang, 2007. "Multiformity of inherent randomicity and visitation density in n symbolic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 685-694.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:685-694
    DOI: 10.1016/j.chaos.2006.01.053
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    References listed on IDEAS

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    1. Hao, Bai-Lin, 2000. "Fractals from genomes – exact solutions of a biology-inspired problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(1), pages 225-246.
    2. Zhang, Yagang & Wang, Changjiang & Zhou, Zhong, 2006. "Inherent randomicity in 4-symbolic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 236-243.
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