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IDLA on the Supercritical Percolation Cluster

  
@article{EJP775,
	author = {Eric Shellef},
	title = {IDLA on the Supercritical Percolation Cluster},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Key words and phrases: Internal Diffusion Limited Aggregation, IDLA, Supercritical percolation},
	abstract = {We consider the internal diffusion limited aggregation (IDLA) process on the infinite cluster in supercritical Bernoulli bond percolation on $\mathbb{Z}^d$. It is shown that the process on the cluster behaves like it does on the Euclidean lattice, in that the aggregate covers all the vertices in a Euclidean ball around the origin, such that the ratio of vertices in this ball to the total number of particles sent out approaches one almost surely.},
	pages = {no. 24, 723-740},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-775},    
        url = {http://ejp.ejpecp.org/article/view/775}}