Fluctuations for internal DLA on the Comb
Probability
2014-01-28 v2
Abstract
We study internal diffusion limited aggregation (DLA) on the two dimensional comb lattice. The comb lattice is a spanning tree of the euclidean lattice, and internal DLA is a random growth model, where simple random walks, starting one at a time at the origin of the comb, stop when reaching the first unoccupied site. An asymptotic shape is suggested by a lower bound of Huss and Sava. We show that fluctuations with respect to this shape are gaussian as in the one-dimensional lattice.
Cite
@article{arxiv.1309.3444,
title = {Fluctuations for internal DLA on the Comb},
author = {Amine Asselah and Houda Rahmani},
journal= {arXiv preprint arXiv:1309.3444},
year = {2014}
}
Comments
31 pages, 2 figures, many errors fixed after referee report