Internal DLA in Higher Dimensions
Probability
2011-02-01 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d > 2. We show that A(t) is approximately spherical, up to an O(\sqrt{\log t}) error.
Cite
@article{arxiv.1012.3453,
title = {Internal DLA in Higher Dimensions},
author = {David Jerison and Lionel Levine and Scott Sheffield},
journal= {arXiv preprint arXiv:1012.3453},
year = {2011}
}
Comments
17 pages, minor revision