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


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001	115379
042			\|a dc
100	1	0	\|a Jerison, David S \|e author
100	1	0	\|a Massachusetts Institute of Technology. Department of Mathematics \|e contributor
100	1	0	\|a Jerison, David S \|e contributor
100	1	0	\|a Levine, Lionel \|e contributor
100	1	0	\|a Sheffield, Scott Roger \|e contributor
700	1	0	\|a Levine, Lionel \|e author
700	1	0	\|a Sheffield, Scott Roger \|e author
245	0	0	\|a Internal DLA in higher dimensions
260			\|b Institute of Mathematical Statistics, \|c 2018-05-15T19:11:31Z.
856			\|z Get fulltext \|u http://hdl.handle.net/1721.1/115379
520			\|a 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.
520			\|a National Science Foundation (U.S.) (Grant DMS-0645585)
655	7		\|a Article
773			\|t Electronic Journal of Probability