Internal Diffusion-Limited aggregation with uniform starting points

Abstract

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.

arXiv commentCorrected the proof of lemma 3.1 and a few typos

References in corpus (2)

• Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile
• Sublogarithmic fluctuations for internal DLA