| dc.contributor.author | Kager, Wouter | |
| dc.contributor.author | Levine, Lionel | |
| dc.date.accessioned | 2014-09-18T16:19:04Z | |
| dc.date.available | 2014-09-18T16:19:04Z | |
| dc.date.issued | 2010-11 | |
| dc.date.submitted | 2010-03 | |
| dc.identifier.issn | 1077-8926 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/89804 | |
| dc.description.abstract | In rotor-router aggregation on the square lattice Z[superscript 2], particles starting at the origin perform deterministic analogues of random walks until reaching an unoccupied site. The limiting shape of the cluster of occupied sites is a disk. We consider a small change to the routing mechanism for sites on the x- and y-axes, resulting in a limiting shape which is a diamond instead of a disk. We show that for a certain choice of initial rotors, the occupied cluster grows as a perfect diamond. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Postdoctoral Fellowship) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Electronic Journal of Combinatorics | en_US |
| dc.relation.isversionof | http://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r152 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Electronic Journal of Combinatorics | en_US |
| dc.title | Rotor-Router Aggregation on the Layered Square Lattice | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Kager, Wouter, and Lionel Levine. "Rotor-Router Aggregation on the Layered Square Lattice." Electronic Journal of Combinatorics, Volume 17 (2010). | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Levine, Lionel | en_US |
| dc.relation.journal | Electronic Journal of Combinatorics | en_US |
| dc.eprint.version | Final published version | 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 | Kager, Wouter; Levine, Lionel | en_US |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
