Internal diffusion-limited aggregation with uniform starting points

Itai Benjamini,Hugo Duminil-Copin,Gady Kozma,Cyrille Lucas

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES（2020）

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摘要

We study internal diffusion-limited aggregation with uniform 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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关键词

Growth model,Random walk,IDLA,Harmonic measure

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