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Flashing annihilation term of a logistic kinetic as a mechanism leading to Pareto distributions

Ryszard Zygadło
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Abstract

It is shown analytically that the flashing annihilation term of a Verhulst kinetic leads to the power--law distribution in the stationary state. For the frequency of switching slower than twice the free growth rate this provides the quasideterministic source of a Levy noises at the macroscopic level.

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Ryszard Zygadło. 2006-02-21. Flashing annihilation term of a logistic kinetic as a mechanism leading to Pareto distributions. https://doi.org/10.1103/physreve.77.021130

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