Universal Features of Correlated Bursty Behaviour

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Universal Features of Correlated Bursty Behaviour

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Title: Universal Features of Correlated Bursty Behaviour
Author: Karsai, Márton; Kaski, Kimmo; Kertész, János; Barabasi, Albert-Laszio

Note: Order does not necessarily reflect citation order of authors.

Citation: Karsai, Márton, Kimmo Kaski, Albert-László Barabási, and János Kertész. 2012. Universal features of correlated bursty behaviour. Scientific Reports 2:397.
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Abstract: Inhomogeneous temporal processes, like those appearing in human communications, neuron spike trains, and seismic signals, consist of high-activity bursty intervals alternating with long low-activity periods. In recent studies such bursty behavior has been characterized by a fat-tailed inter-event time distribution, while temporal correlations were measured by the autocorrelation function. However, these characteristic functions are not capable to fully characterize temporally correlated heterogenous behavior. Here we show that the distribution of the number of events in a bursty period serves as a good indicator of the dependencies, leading to the universal observation of power-law distribution for a broad class of phenomena. We find that the correlations in these quite different systems can be commonly interpreted by memory effects and described by a simple phenomenological model, which displays temporal behavior qualitatively similar to that in real systems.
Published Version: doi:10.1038/srep00397
Other Sources: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3343322/pdf/
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10370570
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