Characterization of intermittency in renewal processes

Application to earthquakes

Takuma Akimoto, Tomohiro Hasumi, Yoji Aizawa

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We construct a one-dimensional piecewise linear intermittent map from the interevent time distribution for a given renewal process. Then, we characterize intermittency by the asymptotic behavior near the indifferent fixed point in the piecewise linear intermittent map. Thus, we provide a framework to understand a unified characterization of intermittency and also present the Lyapunov exponent for renewal processes. This method is applied to the occurrence of earthquakes using the Japan Meteorological Agency and the National Earthquake Information Center catalog. By analyzing the return map of interevent times, we find that interevent times are not independent and identically distributed random variables but that the conditional probability distribution functions in the tail obey the Weibull distribution.

Original languageEnglish
Article number031133
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume81
Issue number3
DOIs
Publication statusPublished - 2010 Mar 30

Fingerprint

Renewal Process
Intermittency
intermittency
Earthquake
Piecewise Linear Map
earthquakes
Return Map
probability distribution functions
random variables
Probability Distribution Function
Weibull Distribution
Conditional probability
Conditional Distribution
Japan
Identically distributed
Lyapunov Exponent
catalogs
Tail
Random variable
Asymptotic Behavior

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Characterization of intermittency in renewal processes : Application to earthquakes. / Akimoto, Takuma; Hasumi, Tomohiro; Aizawa, Yoji.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 81, No. 3, 031133, 30.03.2010.

Research output: Contribution to journalArticle

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