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Internal Diffusion-Limited Aggregation on non-amenable graphs

   
@article{ECP1374,
	author = {Wilfried Huss},
	title = {Internal Diffusion-Limited Aggregation on non-amenable graphs},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {13},
	year = {2008},
	keywords = {interacting particle systems; random walks on graphs},
	abstract = {The stochastic growth model Internal Diffusion Limited Aggregation was defined in 1991 by Diaconis and Fulton. Several shape results are known when the underlying state space is the d-dimensional lattice, or a discrete group with exponential growth. We prove an extension of the shape result of Blachere and Brofferio for Internal Diffusion Limited Aggregation on a wide class of Markov chains on non-amenable graphs.},
	pages = {no. 27, 272-279},
	issn = {1083-589X},
	doi = {10.1214/ECP.v13-1374},    
        url = {http://ecp.ejpecp.org/article/view/1374}}