Universal features of correlated bursty behaviour

By Márton Karsai, Kimmo K. Kaski, Albert-László Barabási, János Kertész. Scientific Reports, 2011

302 citations recorded by the source corpus.

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.

Subfields: Cognitive Neuroscience, Economics and Econometrics

View Paper: https://www.semanticscholar.org/paper/5d8126e1491710b9c7a8b7403f1f1db1ec85f031

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In Cognitive Neuroscience

  1. Matjaz Perc
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  1. Zhen Wang
  2. Alberto d'Onofrio
  3. Dawei Zhao
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