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Bak-Sneppen-type models and rank-driven processes.

Grinfeld, Michael and Knight, Philip A. and Wade, Andrew R. (2011) 'Bak-Sneppen-type models and rank-driven processes.', Physical review E., 84 (4). 041124.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1103/PhysRevE.84.041124
Publisher statement:© 2011 American Physical Society
Date accepted:No date available
Date deposited:31 January 2013
Date of first online publication:October 2011
Date first made open access:No date available

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