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