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Stationary States of a Random Copying Mechanism over a Complex Networks

Cesar A. Hidalgo·Francisco Claro·Pablo A. Marquet
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Abstract

An analytical approach to network dynamics is used to show that when agents copy their state randomly the network arrives to a stationary status in which the distribution of states is independent of the agents degree. The effects of network topology on the process are characterized introducing a quantity called influence and studying its behavior for scale-free and random networks. We show that for this model degree averaged means are constant in time regardless of the number of states involved.

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Cesar A. Hidalgo, Francisco Claro, Pablo A. Marquet. 2004-11-23. Stationary States of a Random Copying Mechanism over a Complex Networks. https://doi.org/10.1016/j.physa.2005.01.035

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