| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.contributor |
Jerison, David S. |
|
| dc.contributor |
Sheffield, Scott Roger |
|
| dc.creator |
Jerison, David S. |
|
| dc.creator |
Levine, Lionel |
|
| dc.creator |
Sheffield, Scott Roger |
|
| dc.date |
2015-01-14T20:45:14Z |
|
| dc.date |
2015-01-14T20:45:14Z |
|
| dc.date |
2014-02 |
|
| dc.date |
2011-03 |
|
| dc.date.accessioned |
2023-03-01T18:10:00Z |
|
| dc.date.available |
2023-03-01T18:10:00Z |
|
| dc.identifier |
0012-7094 |
|
| dc.identifier |
1547-7398 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/92870 |
|
| dc.identifier |
Jerison, David, Lionel Levine, and Scott Sheffield. “Internal DLA and the Gaussian Free Field.” Duke Mathematical Journal 163, no. 2 (February 2014): 267–308. |
|
| dc.identifier |
https://orcid.org/0000-0002-5951-4933 |
|
| dc.identifier |
https://orcid.org/0000-0002-9357-7524 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/279001 |
|
| dc.description |
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 internal DLA from its mean shape is of constant order when d=2 and of order r[superscript 1−d/2] (for a radius r cluster) in general. Appropriately normalized, the fluctuations (taken over time and space) scale to a variant of the Gaussian free field. |
|
| dc.description |
National Science Foundation (U.S.) (grant DMS-0645585) |
|
| dc.description |
National Science Foundation (U.S.) (grant DMS-1105960) |
|
| dc.description |
National Science Foundation (U.S.) (Postdoctoral Research Fellowship) |
|
| dc.description |
National Science Foundation (U.S.) (grant DMS-1069225) |
|
| dc.format |
application/pdf |
|
| dc.language |
en_US |
|
| dc.publisher |
Duke University Press |
|
| dc.relation |
http://dx.doi.org/10.1215/00127094-2430259 |
|
| dc.relation |
Duke Mathematical Journal |
|
| dc.rights |
Creative Commons Attribution-Noncommercial-Share Alike |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
|
| dc.source |
arXiv |
|
| dc.title |
Internal DLA and the Gaussian free field |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|