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arXiv · 1707.03241

Internal Diffusion-Limited aggregation with uniform starting points

Itai Benjamini·Hugo Duminil-Copin·Gady Kozma·Cyrille Lucas
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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.

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Itai Benjamini, Hugo Duminil-Copin, Gady Kozma, Cyrille Lucas. 2017-07-11. Internal Diffusion-Limited aggregation with uniform starting points. https://arxiv.org/abs/1707.03241

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