Asymptotics of the odometer function for the internal Diffusion Limited Aggregation model

Mathematics – Probability

Scientific paper

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Scientific paper

We present precise asymptotics of the odometer function for the internal
Diffusion Limited Aggregation model. These results provide a better
understanding of this function whose importance was demonstrated by Levine and
Peres. We derive a different proof of a time-scale result by Lawler, Bramson
and Griffeath.

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