Internal DLA in higher dimensions

Internal DLA in higher dimensions

Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d≥3. We show that A(t) is approximately spherical, up to an O(√logt) error.

Bibliographic Details
Main Authors:	Jerison, David S (Contributor), Levine, Lionel (Contributor), Sheffield, Scott Roger (Contributor)
Other Authors:	Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format:	Article
Language:	English
Published:	Institute of Mathematical Statistics, 2018-05-15T19:11:31Z.
Subjects:	Article
Online Access:	Get fulltext

Description
Summary:	Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d≥3. We show that A(t) is approximately spherical, up to an O(√logt) error. National Science Foundation (U.S.) (Grant DMS-0645585)