Internal DLA in Higher Dimensions

Details Internal DLA in Higher Dimensions Internal DLA in Higher Dimensions

2010-12-15

arxiv.org/abs/1012.3453v2

Mathematics

Probability

17 pages, minor revision

Scientific paper

Let A(t) denote the cluster produced by internal diffusion limited
aggregation (internal DLA) with t particles in dimension d > 2. We show that
A(t) is approximately spherical, up to an O(\sqrt{\log t}) error.

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