Unidirectional random growth with resetting

T.S. Biró and Z. Néda

Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, issue C, 335-361

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.

Keywords: Master equation; Generalized entropic divergence; Distributions in complex systems (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:499:y:2018:i:c:p:335-361

DOI: 10.1016/j.physa.2018.02.078

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