ICCS2004 Application Submission/Review

Abstract for

In this paper we are going to argue: 1. That power law distributions emerge in three different types of models; these models can be shown to describe respectively nodal, links and dynamic properties of networks; 2. That the three models are related and represent three complementary approaches to different network properties. The same underlying phenomenon, that is, self-organization in networks, is the cause of the emergence of a power law. 3. That a power law is inherently related to the emergence of a collective system of relationships among the agents of a system. This implies that a power law distribution can be used to distinguish systems of coevolving agents from aggregates of independent agents. The closeness to a power law is an indicator of the emergence of a system from an aggregate and can be used to distinguish, for instance, between an industrial cluster and a simple geographic concentration of firms. 4. That power law and the edge of chaos dynamic are correlated.