On the fluctuations of Internal DLA on the Sierpinski gasket graph
Probability
2022-02-04 v2
Abstract
Internal diffusion limited aggregation (IDLA) is a random aggregation model on a graph , 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.
Cite
@article{arxiv.2105.09745,
title = {On the fluctuations of Internal DLA on the Sierpinski gasket graph},
author = {Nico Heizmann},
journal= {arXiv preprint arXiv:2105.09745},
year = {2022}
}
Comments
15 pages, 2 figures