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Containing internal diffusion limited aggregation

   
@article{ECP2862,
	author = {Hugo Duminil-Copin and Cyrille Lucas and Ariel Yadin and Amir Yehudayoff},
	title = {Containing internal diffusion limited aggregation},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {IDLA, Random Walk, Percolation},
	abstract = {
Internal Diffusion Limited Aggregation (IDLA) is a model that describes the growth of a random aggregate of particles from the inside out. Shellef proved that IDLA processes on supercritical percolation clusters of integer-lattices fill Euclidean balls, with high probability. In this article, we complete the picture and prove a limit-shape theorem for IDLA on such percolation clusters, by providing the corresponding upper bound.
The technique to prove upper bounds is new and robust: it only requires the existence of a ``good'' lower bound. Specifically, this way of proving upper bounds on IDLA clusters is more suitable for random environments than previous ways, since it does not harness harmonic measure estimates.
},
	pages = {no. 50, 1-8},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2862},    
        url = {http://ecp.ejpecp.org/article/view/2862}}