SLE(6) and the geometry of diffusion fronts
Probability
2009-12-21 v1
Abstract
We study the diffusion front for a natural two-dimensional model where many particles starting at the origin diffuse independently. It turns out that this model can be described using properties of near-critical percolation, and provides a natural example where critical fractal geometries spontaneously arise.
Cite
@article{arxiv.0912.3770,
title = {SLE(6) and the geometry of diffusion fronts},
author = {Pierre Nolin},
journal= {arXiv preprint arXiv:0912.3770},
year = {2009}
}
Comments
21 pages, 5 figures