Bak - Sneppen Model
نویسنده
چکیده
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 33, D-70173 Stuttgart, Germany (December 19, 2013)
منابع مشابه
Ja n 20 03 On the limit behaviour of the Bak - Sneppen evolution model
One of the key problems related to the Bak-Sneppen evolution model on the circle is to compute the limit distribution of the fitness at a fixed observation vertex in the stationary regime, as the size of the system tends to infinity. Simulations in [4] and [1] suggest that this limit distribution is uniform on (f, 1), for some f ∼ 2/3. In this paper we prove that the mean of the fitness in the ...
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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 ...
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The master equations describing processes of biological evolution in the framework of the random neighbor Bak-Sneppen model are studied. For the eqosystem of N species they are solved exactly and asymptotical behavior of this solution for large N is analyzed.
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In the Bak–Sneppen model, the lowest fitness particle and its two nearest neighbors are renewed at each temporal step with a uniform (0,1) fitness distribution. The model presents a critical value that depends on the interaction criteria (two nearest neighbors) and on the update procedure (uniform). Here we calculate the critical value for models where one or both properties are changed. We stu...
متن کاملLimit Behavior of the Bak–sneppen Evolution Model by Ronald Meester
One of the key problems related to the Bak–Sneppen evolution model on the circle is computing the limit distribution of the fitness at a fixed observation vertex in the stationary regime as the size of the system tends to infinity. Some simulations have suggested that this limit distribution is uniform on (f,1) for some f ∼ 2/3. In this article, we prove that the mean of the fitness in the stat...
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تاریخ انتشار 2014