### 抄録

A new large deviation property for the Lempel-Ziv complexity is numerically studied by using a one-dimesional non-hyperbolic "modified Bernoulli map", where the transition between stationary and non-stationary chaos is clearly observed. We will show that the Lempel-Ziv complexity and its fluctuations obey the universal scaling laws, and that the Lempel-Ziv complexity has the L^{1}-function property of the infinite ergodic theory. One of the most striking results is that the 1/f spectral process reveals the maximum diversity at the transition point from the stationary chaos to the non-stationary one.

元の言語 | English |
---|---|

ページ（範囲） | 213-214 |

ページ数 | 2 |

ジャーナル | Journal of Physics: Conference Series |

巻 | 31 |

発行部数 | 1 |

DOI | |

出版物ステータス | Published - 2006 3 22 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### これを引用

*Journal of Physics: Conference Series*,

*31*(1), 213-214. https://doi.org/10.1088/1742-6596/31/1/059

**The Lempel-Ziv complexity of 1/f spectral chaos and the infinite ergodic theory.** / Shinkai, Soya; Aizawa, Yoji.

研究成果: Article

*Journal of Physics: Conference Series*, 巻. 31, 番号 1, pp. 213-214. https://doi.org/10.1088/1742-6596/31/1/059

}

TY - JOUR

T1 - The Lempel-Ziv complexity of 1/f spectral chaos and the infinite ergodic theory

AU - Shinkai, Soya

AU - Aizawa, Yoji

PY - 2006/3/22

Y1 - 2006/3/22

N2 - A new large deviation property for the Lempel-Ziv complexity is numerically studied by using a one-dimesional non-hyperbolic "modified Bernoulli map", where the transition between stationary and non-stationary chaos is clearly observed. We will show that the Lempel-Ziv complexity and its fluctuations obey the universal scaling laws, and that the Lempel-Ziv complexity has the L1-function property of the infinite ergodic theory. One of the most striking results is that the 1/f spectral process reveals the maximum diversity at the transition point from the stationary chaos to the non-stationary one.

AB - A new large deviation property for the Lempel-Ziv complexity is numerically studied by using a one-dimesional non-hyperbolic "modified Bernoulli map", where the transition between stationary and non-stationary chaos is clearly observed. We will show that the Lempel-Ziv complexity and its fluctuations obey the universal scaling laws, and that the Lempel-Ziv complexity has the L1-function property of the infinite ergodic theory. One of the most striking results is that the 1/f spectral process reveals the maximum diversity at the transition point from the stationary chaos to the non-stationary one.

UR - http://www.scopus.com/inward/record.url?scp=33645396694&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645396694&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/31/1/059

DO - 10.1088/1742-6596/31/1/059

M3 - Article

AN - SCOPUS:33645396694

VL - 31

SP - 213

EP - 214

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

ER -