Levy-nearest-neighbors Bak-Sneppen model

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Bak - Sneppen Model

R. Cafiero, P. De Los Rios, A. Valleriani, and J. L. Vega 1 P.M.M.H., Ecole Supérieure de Physique et de chimie Industrielles, 10, rue Vaquelin, 75231 Paris, France. 2 Institut de Physique Theorique, Université de Fribourg, CH-1700 Fribourg, Switzerland. 3 Max-Planck-Institute of Colloids and Interfaces Theory Division Kantstrasse 55, D-14513 Teltow-Seehof, Germany 4 BANCOTEC GmbH, Calwerstraße...

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Perturbative approach to the Bak-Sneppen model.

We study the Bak-Sneppen model in the probabilistic framework of the run time statistics (RTS). This model has attracted a large interest for its simplicity being a prototype for the whole class of models showing self-organized criticality. The dynamics is characterized by a self-organization of almost all the species fitnesses above a nontrivial threshold value, and by a lack of spatial and te...

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Local equilibrium in the Bak-Sneppen model

The Bak Sneppen (BS) model is a very simple model that exhibits all the richness of self-organized criticality theory. At the thermodynamic limit, the BS model converges to a situation where all particles have a fitness that is uniformly distributed between a critical value pc and 1. The pc value is unknown, as are the variables that influence and determine this value. Here, we study the Bak Sn...

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Bacterial evolution and the Bak-Sneppen model

Recently, Lenski et al \cite{Elena,Lenski,Travisano} have carried out several experiments on bacterial evolution. Their findings support the theory of punctuated equilibrium in biological evolution. They have further quantified the relative contributions of adaptation, chance and history to bacterial evolution. In this Brief Report, we show that a modified M-trait Bak-Sneppen model can explain ...

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Bacterial Evolution and Bak-Sneppen Model

Recently, Lenski et al [1, 2, 3] have carried out several experiments on bacterial evolution. Their findings support the theory of punctuated equilibrium in biological evolution. They have further quantified the relative contributions of adaptation, chance and history to bacterial evolution. In this paper, we show that a modified M -trait Bak-Sneppen model can explain many of the experimental r...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 1999

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.60.r1111