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arxiv: 0912.3770 · v1 · submitted 2009-12-18 · 🧮 math.PR

SLE(6) and the geometry of diffusion fronts

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keywords diffusionmodelnaturalarisecriticaldescribeddiffuseexample
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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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