1999/05/17 by W. Li, X. Cai, Li, W. +2
Economics, Econometrics and Finance · Physics and Astronomy · Social Sciences · #Complex Systems and Time Series Analysis #Evolutionary Game Theory and Cooperation #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9905239
6 pages, 4 figures
arxiv created 1999/05/17 · arxiv updated 2009/11/30
A new quantity, average fitness, is introduced in Bak-Sneppen evolution model. Through this new quantity, a new hierarchy of avalanches is observed in the evolution of Bak-Sneppen model. An exact gap equation, governing the self-organization of the model, is presented. It is found that the self-organized threshold of the new quantity can be exactly obtained. Two basic exponents, avalanche distribution and avalanche dimension are given through simulations of one- and two-dimensional Bak-Sneppen models. It is suggested that this new quantity may be a good quantity in determining the emergence of criticality.