## Internal diffusion-limited aggregation with uniform starting points.(English. French summary)Zbl 1434.82062

Summary: We study internal diffusion-limited aggregation with uniform starting points on $$\mathbb{Z}^d$$. 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.

### MSC:

 82C24 Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics 60J45 Probabilistic potential theory

### Keywords:

growth model; random walk; IDLA; harmonic measure
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### References:

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