Unidirectional random growth with resetting

T. Bíró, Z. Néda

Research output: Contribution to journalReview article

5 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

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Wealth Distribution
H-theorem
Income Distribution
Detailed Balance
Biodiversity
Citations
Stationary Distribution
Ground State
Stochastic Model
High Energy
Stochastic Processes
biological diversity
income
stochastic processes
particle energy
theorems
ground state
Review

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Unidirectional random growth with resetting. / Bíró, T.; Néda, Z.

In: Physica A: Statistical Mechanics and its Applications, Vol. 499, 01.06.2018, p. 335-361.

Research output: Contribution to journalReview article

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