Bak-Sneppen-type models and rank-driven processes

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Abstract

The Bak-Sneppen model is a well-known stochastic model of evolution that exhibits self organized criticality; only a few analytical results have been established for it so far. We report a surprising connection between Bak-Sneppen-type models and more tractable Markov processes that evolve without any reference to an underlying topology. Specifically, we show that in the case of a large number of species, the long time behavior of the fitness
profile in the Bak-Sneppen model can be replicated by a model with a purely rank-based update rule whose asymptotics can be studied rigorously.
Original languageEnglish
Article number041124
Number of pages5
JournalPhysical Review E
Volume84
Issue number4
DOIs
Publication statusPublished - 18 Oct 2011

Keywords

  • Bak-Sneppen model
  • stochastic model
  • Markov processes

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