Internal Diffusion-Limited Aggregation on non-amenable graphs
Wilfried Huss, Graz University of Technology
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.
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