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Internal DLA and the Gaussian free field
| dc.contributor.author | Jerison, David S. | |
| dc.contributor.author | Levine, Lionel | |
| dc.contributor.author | Sheffield, Scott Roger | |
| dc.date.accessioned | 2015-01-14T20:45:14Z | |
| dc.date.available | 2015-01-14T20:45:14Z | |
| dc.date.issued | 2014-02 | |
| dc.date.submitted | 2011-03 | |
| dc.identifier.issn | 0012-7094 | |
| dc.identifier.issn | 1547-7398 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/92870 | |
| dc.description.abstract | 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. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (grant DMS-0645585) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (grant DMS-1105960) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Postdoctoral Research Fellowship) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (grant DMS-1069225) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Duke University Press | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1215/00127094-2430259 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Internal DLA and the Gaussian free field | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Jerison, David, Lionel Levine, and Scott Sheffield. “Internal DLA and the Gaussian Free Field.” Duke Mathematical Journal 163, no. 2 (February 2014): 267–308. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Jerison, David S. | en_US |
| dc.contributor.mitauthor | Sheffield, Scott Roger | en_US |
| dc.relation.journal | Duke Mathematical Journal | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Jerison, David; Levine, Lionel; Sheffield, Scott | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-5951-4933 | |
| dc.identifier.orcid | https://orcid.org/0000-0002-9357-7524 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete |
