Levy-nearest-neighbors Bak-Sneppen model

We study a random neighbor version of the Bak-Sneppen model, where "nearest neighbors" are chosen according to a probability distribution decaying as a power law of the distance from the active site, P(x) similar to\x - x(ac) \(-omega) All Of the exponents characterizing the self-organized critical s tate of this model depend on the exponent omega. As omega --> 1 we recover the usual random nearest neighbor version of the model. The pattern of resu lts obtained for a range of values of omega is also compatible with the res ults of simulations of the original BS model in high dimensions. Moreover, our results suggest a critical dimension d(c) = 6 for the Bak-Sneppen model , in contrast with previous claims. [S1063-651X(99)50108-6].