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We study the Bak-Sneppen (BS) punctuated equilibrium model of biological evolution and calculate its critical exponents. We show that this model can be mapped onto a two-dimensional model of the invasion percolation type, which is ``history dependent,'' in that the exponents depend on the order in which the sites of the system are updated. We find that the critical exponents {γ}, ν_⊥, {σ}, and {ω} for the BS model are different from those of the directed percolation model, but the combination {σ}ν_⊥ is the same.
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Jovanović et al. (1994) studied this question.
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