We consider the internal diffusion limited aggregation (IDLA) process on the infinite cluster in supercritical Bernoulli bond percolation on $mathbb{Z}^d$. It is shown that the process on the cluster behaves like it does on the Euclidean lattice, in that the aggregate covers all the vertices in a Euclidean ball around the origin, such that the ratio of vertices in this ball to the total number of particles sent out approaches one almost surely.
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机译：我们考虑在$ mathbb {Z} ^ d $上的超临界Bernoulli键渗滤中的无限簇上的内部扩散限制聚集（IDLA）过程。结果表明，簇上的过程的行为与欧几里得晶格上的过程相同，因为聚集体覆盖了围绕原点的欧几里得球中的所有顶点，因此该球中的顶点与所发送粒子总数的比率几乎肯定会接近。
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