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.
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 language | English |
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Article number | 041124 |
Number of pages | 5 |
Journal | Physical Review E |
Volume | 84 |
Issue number | 4 |
DOIs | |
Publication status | Published - 18 Oct 2011 |
Keywords
- Bak-Sneppen model
- stochastic model
- Markov processes