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

Soya Shinkai, Yoji Aizawa

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)213-214
Number of pages2
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 2006 Mar 22


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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