Internal Diffusion-Limited aggregation with uniform starting points

Tuesday, 11 July, 2017

Published in: 

arXiv:1707.03241

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.

Author(s): 

Itai Benjamini
Hugo Duminil-Copin
Gady Kozma
Cyrille Lucas