Internal DLA and the Gaussian free field

In previous works, we showed that the internal diffusion-limited aggregation (DLA) cluster on Z[superscript d] with t particles is almost surely spherical up to a maximal error of O(logt) if d=2 and O(logt√) if d≥3. This paper addresses average error: in a certain sense, the average deviation of int...

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Bibliographic Details
Main Authors: Jerison, David S., Levine, Lionel, Sheffield, Scott Roger
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Duke University Press 2015
Online Access:http://hdl.handle.net/1721.1/92870
https://orcid.org/0000-0002-5951-4933
https://orcid.org/0000-0002-9357-7524