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Unidirectional random growth with resetting

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  • Biró, T.S.
  • Néda, Z.

Abstract

We review stochastic processes without detailed balance condition and derive their H-theorem. We obtain stationary distributions and investigate their stability in terms of generalized entropic distances beyond the Kullback–Leibler formula. A simple stochastic model with local growth rates and direct resetting to the ground state is investigated and applied to various networks, scientific citations and Facebook popularity, hadronic yields in high energy particle reactions, income and wealth distributions, biodiversity and settlement size distributions.

Suggested Citation

  • Biró, T.S. & Néda, Z., 2018. "Unidirectional random growth with resetting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 335-361.
    • Handle: RePEc:eee:phsmap:v:499:y:2018:i:c:p:335-361
    DOI: 10.1016/j.physa.2018.02.078
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    References listed on IDEAS

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    Cited by:

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    2. Zöller, Nikolas & Morgan, Jonathan H. & Schröder, Tobias, 2020. "A topology of groups: What GitHub can tell us about online collaboration," Technological Forecasting and Social Change, Elsevier, vol. 161(C).
    3. Néda, Zoltán & Gere, István & Biró, Tamás S. & Tóth, Géza & Derzsy, Noemi, 2020. "Scaling in income inequalities and its dynamical origin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).

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