Stationary States of a Random Copying Mechanism over a Complex Networks

Details Stationary States of a Random Copying Mechanism over a Complex Networks Stationary States of a Random Copying Mechanism over a Complex Networks

2004-11-11

arxiv.org/abs/cond-mat/0411295v3

Physica A, Vol 353, p 674, (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 3 Figures, article class

Scientific paper

10.1016/j.physa.2005.01.035

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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