Internal DLA in higher dimensions

David Jerison (MIT)
Lionel Levine (Cornell University)
Scott Sheffield (MIT)

Abstract


Let $A(t)$ denote the cluster produced by internal diffusion limited aggregation (internal DLA) with $t$ particles in dimension $d \geq 3$.  We show that $A(t)$ is approximately spherical, up to an $O(\sqrt{\log t})$ error.

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Pages: 1-14

Publication Date: November 14, 2013

DOI: 10.1214/EJP.v18-3137

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