Metastable Densities for Contact Processes on Random Graphs

Details Metastable Densities for Contact Processes on Random Graphs Metastable Densities for Contact Processes on Random Graphs

2011-06-21

arxiv.org/abs/1106.4336v1

Mathematics

Probability

Scientific paper

We consider the contact process on the random graph chosen according to the power law model of Newman, Strogatz and Watts (2001, \cite{NSW}). We follow the work of Chatterjee and Durrett (2009, \cite{CD}) who showed that for arbitrarily small infection parameter \lambda > 0, the limiting metastable density does not tend to zero as the graph size becomes large. We show three distinct regimes for this density depending on the tail of the degree law.

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