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arxiv: 1012.3453 · v2 · pith:TC3IIYMMnew · submitted 2010-12-15 · 🧮 math.PR · cond-mat.stat-mech· math-ph· math.MP

Internal DLA in Higher Dimensions

classification 🧮 math.PR cond-mat.stat-mechmath-phmath.MP
keywords internalaggregationapproximatelyclusterdenotediffusiondimensiondimensions
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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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