Unidirectional random growth with resetting

T. S. Biró, Z. Néda

Research output: Contribution to journalReview article

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)335-361
Number of pages27
JournalPhysica A: Statistical Mechanics and its Applications
Volume499
DOIs
Publication statusPublished - Jun 1 2018

Keywords

  • Distributions in complex systems
  • Generalized entropic divergence
  • Master equation

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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