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arXiv · 2205.07563

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

Aleksejus Kononovicius·Rytis Kazakevičius·Bronislovas Kaulakys
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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 Kazakevičius, Bronislovas Kaulakys. 2022-05-16. Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes. https://doi.org/10.1016/j.chaos.2022.112508

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