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arXiv · 2105.09745

On the fluctuations of Internal DLA on the Sierpinski gasket graph

Nico Heizmann
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Abstract

Internal diffusion limited aggregation (IDLA) is a random aggregation model on a graph $G$, whose clusters are formed by random walks started in the origin (some fixed vertex) and stopped upon visiting a previously unvisited site. On the Sierpinski gasket graph the asymptotic shape is known to be a ball in the usual graph metric. In this paper we establish bounds for the fluctuations of the cluster from its asymptotic shape.

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Nico Heizmann. 2021-05-20. On the fluctuations of Internal DLA on the Sierpinski gasket graph. https://arxiv.org/abs/2105.09745

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