On One-dimensional Multi-Particle Diffusion Limited Aggregation
Probability
2016-09-27 v1
Abstract
We prove that the one dimensional Multi-Particle Diffusion Limited Aggregation model has linear growth whenever the particle density exceeds 1 answering a question of Kesten and Sidoravicius. As a corollary we prove linear growth in all dimensions d when the particle density is at least 1.
Keywords
Cite
@article{arxiv.1609.08107,
title = {On One-dimensional Multi-Particle Diffusion Limited Aggregation},
author = {Allan Sly},
journal= {arXiv preprint arXiv:1609.08107},
year = {2016}
}
Comments
16 pages