SLE(6) and the geometry of diffusion fronts

Details SLE(6) and the geometry of diffusion fronts SLE(6) and the geometry of diffusion fronts

2009-12-18

arxiv.org/abs/0912.3770v1

Mathematics

Probability

21 pages, 5 figures

Scientific paper

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.

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