Punctuated equilibrium and history-dependent percolation

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

doi:10.1103/physreve.50.r2403

Punctuated equilibrium and history-dependent percolation

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

Department of Physics - at Bar-Ilan University

Boston University

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

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 language	English
Pages (from-to)	R2403-R2406
Journal	Physical Review E
Volume	50
Issue number	4
DOIs	https://doi.org/10.1103/physreve.50.r2403
State	Published - 1994

Access to Document

10.1103/physreve.50.r2403

Cite this

@article{39e561a654eb4022b1d2669a493cf3a3,

title = "Punctuated equilibrium and history-dependent percolation",

abstract = "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.",

author = "Boidar Jovanovi{\'c} and Buldyrev, {Sergey V.} and Shlomo Havlin and Stanley, {H. Eugene}",

year = "1994",

doi = "10.1103/physreve.50.r2403",

language = "אנגלית",

volume = "50",

pages = "R2403--R2406",

journal = "Physical Review E",

issn = "1063-651X",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Punctuated equilibrium and history-dependent percolation

AU - Jovanović, Boidar

AU - Buldyrev, Sergey V.

AU - Havlin, Shlomo

AU - Stanley, H. Eugene

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002619760&partnerID=8YFLogxK

U2 - 10.1103/physreve.50.r2403

DO - 10.1103/physreve.50.r2403

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0002619760

SN - 1063-651X

VL - 50

SP - R2403-R2406

JO - Physical Review E

JF - Physical Review E

IS - 4

ER -

Punctuated equilibrium and history-dependent percolation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this