Internal Diffusion-Limited aggregation with uniform starting points
Probability
2021-10-07 v2
Abstract
We study internal diffusion-limited aggregation with random starting points on Z^d. In this model, each new particle starts from a vertex chosen uniformly at random on the existing aggregate. We prove that the limiting shape of the aggregate is a Euclidean ball.
Cite
@article{arxiv.1707.03241,
title = {Internal Diffusion-Limited aggregation with uniform starting points},
author = {Itai Benjamini and Hugo Duminil-Copin and Gady Kozma and Cyrille Lucas},
journal= {arXiv preprint arXiv:1707.03241},
year = {2021}
}
Comments
Corrected the proof of lemma 3.1 and a few typos