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Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes

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  • Aleksejus Kononovicius
  • Rytis Kazakeviv{c}ius
  • Bronislovas Kaulakys

Abstract

We analyze the statistical properties of a temporal point process driven by a confined fractional Brownian motion. The event count distribution and power spectral density of this non--Markovian point process exhibit power--law scaling. We show that a nonlinear Markovian point process can reproduce the same scaling behavior. This result indicates a possible link between nonlinearity and apparent non--Markovian behavior.

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  • Aleksejus Kononovicius & Rytis Kazakeviv{c}ius & Bronislovas Kaulakys, 2022. "Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes," Papers 2205.07563, arXiv.org, revised Jul 2022.
    • Handle: RePEc:arx:papers:2205.07563
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    References listed on IDEAS

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