Limit Behavior of the Bak–sneppen Evolution Model by Ronald Meester

@inproceedings{Meester2003LimitBO,
title={Limit Behavior of the Bak–sneppen Evolution Model by Ronald Meester},
author={Ronald W. J. Meester},
year={2003}
}

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 stationary regime is bounded away from 1, uniformly in the size of the system, thereby establishing the… CONTINUE READING