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.
| Main Authors: | , , |
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| Format: | Article |
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Institute of Mathematical Statistics
2018
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| Online Access: | http://hdl.handle.net/1721.1/115379 https://orcid.org/0000-0002-9357-7524 https://orcid.org/0000-0002-5951-4933 |
| _version_ | 1826207212994822144 |
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| author | Jerison, David S Levine, Lionel Sheffield, Scott Roger |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Jerison, David S Levine, Lionel Sheffield, Scott Roger |
| author_sort | Jerison, David S |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:45:48Z |
| format | Article |
| id | mit-1721.1/115379 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:45:48Z |
| publishDate | 2018 |
| publisher | Institute of Mathematical Statistics |
| record_format | dspace |
| spelling | mit-1721.1/1153792022-09-28T16:01:16Z Internal DLA in higher dimensions Jerison, David S Levine, Lionel Sheffield, Scott Roger Massachusetts Institute of Technology. Department of Mathematics Jerison, David S Levine, Lionel Sheffield, Scott Roger 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. National Science Foundation (U.S.) (Grant DMS-0645585) 2018-05-15T19:11:31Z 2018-05-15T19:11:31Z 2013 2018-05-15T13:39:11Z Article http://purl.org/eprint/type/JournalArticle 1083-6489 http://hdl.handle.net/1721.1/115379 Jerison, David, Lionel Levine, and Scott Sheffield. “Internal DLA in Higher Dimensions.” Electronic Journal of Probability 18, (2013): 98 https://orcid.org/0000-0002-9357-7524 https://orcid.org/0000-0002-5951-4933 http://dx.doi.org/10.1214/EJP.V18-3137 Electronic Journal of Probability Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Mathematical Statistics arXiv |
| spellingShingle | Jerison, David S Levine, Lionel Sheffield, Scott Roger Internal DLA in higher dimensions |
| title | Internal DLA in higher dimensions |
| title_full | Internal DLA in higher dimensions |
| title_fullStr | Internal DLA in higher dimensions |
| title_full_unstemmed | Internal DLA in higher dimensions |
| title_short | Internal DLA in higher dimensions |
| title_sort | internal dla in higher dimensions |
| url | http://hdl.handle.net/1721.1/115379 https://orcid.org/0000-0002-9357-7524 https://orcid.org/0000-0002-5951-4933 |
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