| dc.contributor.author | Louidor, O. | |
| dc.contributor.author | Newman, C. M. | |
| dc.contributor.author | Rolla, L. T. | |
| dc.contributor.author | Sidoravicius, V. | |
| dc.contributor.author | Hilario, M. R. | |
| dc.contributor.author | Sheffield, Scott Roger | |
| dc.date.accessioned | 2013-09-16T12:24:41Z | |
| dc.date.available | 2013-09-16T12:24:41Z | |
| dc.date.issued | 2010-03 | |
| dc.date.submitted | 2009-06 | |
| dc.identifier.issn | 00103640 | |
| dc.identifier.issn | 10970312 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/80731 | |
| dc.description | Author's final manuscript January 19, 2010 | en_US |
| dc.description.abstract | We study a discrete-time resource flow in Z[superscript d] where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution of initial resource quantities, we prove that the flow at each vertex terminates after finitely many steps. This answers (a generalized version of) a question posed by van den Berg and Meester in 1991. The proof uses the mass transport principle and extends to other graphs. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-06-45585) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant OISE-07-30136) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Wiley Blackwell | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1002/cpa.20321 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Fixation for distributed clustering processes | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Hilário, M. R., O. Louidor, C. M. Newman, L. T. Rolla, S. Sheffield, and V. Sidoravicius. “Fixation for distributed clustering processes.” Communications on Pure and Applied Mathematics (2010). | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Sheffield, Scott Roger | en_US |
| dc.relation.journal | Communications on Pure and Applied Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Hilário, M. R.; Louidor, O.; Newman, C. M.; Rolla, L. T.; Sheffield, S.; Sidoravicius, V. | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-5951-4933 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
