Modeling correlated bursts by the bursty-get-burstier mechanism

Hang-Hyun Jo*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)
188 Downloads (Pure)


Temporal correlations of time series or event sequences in natural and social phenomena have been characterized by power-law decaying autocorrelation functions with decaying exponent.. Such temporal correlations can be understood in terms of power-law distributed interevent times with exponent a and/or correlations between interevent times. The latter, often called correlated bursts, has recently been studied by measuring power-law distributed bursty trains with exponent beta. A scaling relation between a and. has been established for the uncorrelated interevent times, while little is known about the effects of correlated interevent times on temporal correlations. In order to study these effects, we devise the bursty-get-burstier model for correlated bursts, by which one can tune the degree of correlations between interevent times, while keeping the same interevent time distribution. We numerically find that sufficiently strong correlations between interevent times could violate the scaling relation between a and. for the uncorrelated case. A nontrivial dependence of. on beta is also found for some range of a. The implication of our results is discussed in terms of the hierarchical organization of bursty trains at various time scales.

Original languageEnglish
Article number062131
Pages (from-to)1-7
Number of pages7
JournalPhysical Review E
Issue number6
Publication statusPublished - 18 Dec 2017
MoE publication typeA1 Journal article-refereed


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