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Internal Diffusion-Limited aggregation with uniform starting points

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arxiv 1707.03241 v2 pith:E5RWPDDB submitted 2017-07-11 math.PR

Itai Benjamini , Hugo Duminil-Copin , Gady Kozma , Cyrille Lucas This is my paper · ORCID
classification math.PR
keywords aggregateaggregationdiffusion-limitedinternalpointsrandomstartingball
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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.

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