Grinfeld, Michael and Knight, Philip A. and Wade, Andrew R. (2011) Bak-Sneppen-type models and rank-driven processes. Physical Review E, 84 (4). ISSN 1539-3755
PDF (Bak–Sneppen type models and rank-driven processes)
gkwPRE287.pdf - Draft Version
Available under License Unspecified.
Download (422kB) | Preview
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.
|Keywords:||Bak-Sneppen model, stochastic model, Markov processes, Probabilities. Mathematical statistics, Statistical and Nonlinear Physics, Statistics and Probability, Condensed Matter Physics|
|Subjects:||Science > Mathematics > Probabilities. Mathematical statistics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Pure Administrator|
|Date Deposited:||20 Oct 2011 12:17|
|Last modified:||17 Jun 2015 19:07|
Actions (login required)