How to cite item

Metastable densities for the contact process on power law random graphs

   
@article{EJP2512,
	author = {Thomas Mountford and Daniel Valesin and Qiang Yao},
	title = {Metastable densities for the contact process on power law random graphs},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {contact process, random graphs},
	abstract = {We consider the contact process on a random graph with fixed degree distribution given by a power law. We follow the work of Chatterjee and Durrett (2009), who showed that for arbitrarily small infection parameter $\lambda$, the survival time of the process is larger than a stretched exponential function of the number of vertices, $n$. We obtain sharp bounds for the typical density of infected sites in the graph, as $\lambda$ is kept fixed and $n$ tends to infinity. We exhibit three different regimes for this density, depending on the tail of the degree law.},
	pages = {no. 103, 1-36},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-2512},    
        url = {http://ejp.ejpecp.org/article/view/2512}}