Internal Diffusion-Limited aggregation with uniform starting points

Tuesday, 11 July, 2017

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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.


Itai Benjamini
Hugo Duminil-Copin
Gady Kozma
Cyrille Lucas