| dc.contributor.author | Novak, Jonathan | |
| dc.date.accessioned | 2016-10-28T20:19:30Z | |
| dc.date.available | 2016-10-28T20:19:30Z | |
| dc.date.issued | 2015-07 | |
| dc.date.submitted | 2014-07 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.issn | 1572-9613 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/105150 | |
| dc.description.abstract | We give a new proof of the fact that, near a turning point of the frozen boundary, the vertical tiles in a uniformly random lozenge tiling of a large sawtooth domain are distributed like the eigenvalues of a GUE random matrix. Our argument uses none of the standard tools of integrable probability. In their place, it uses a combinatorial interpretation of the Harish-Chandra/Itzykson-Zuber integral as a generating function for desymmetrized Hurwitz numbers. | en_US |
| dc.publisher | Springer US | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s10955-015-1330-x | 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 | Springer US | en_US |
| dc.title | Lozenge Tilings and Hurwitz Numbers | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Novak, Jonathan. “Lozenge Tilings and Hurwitz Numbers.” Journal of Statistical Physics 161.2 (2015): 509–517. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Novak, Jonathan | |
| dc.relation.journal | Journal of Statistical Physics | 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 |
| dc.date.updated | 2016-08-18T15:44:42Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer Science+Business Media New York | |
| dspace.orderedauthors | Novak, Jonathan | en_US |
| dspace.embargo.terms | N | en |
| mit.license | PUBLISHER_POLICY | en_US |
