Punctuated equilibrium and history-dependent percolation

Boidar Jovanović, Sergey V. Buldyrev, Shlomo Havlin, H. Eugene Stanley

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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, , , and for the BS model are different from those of the directed percolation model, but the combination is the same.

Original languageEnglish
Pages (from-to)R2403-R2406
JournalPhysical Review E
Issue number4
StatePublished - 1994


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