Partition function of periodic isoradial dimer models
| dc.creator | de Tilière, Béatrice | |
| dc.date | 2006-05-22 | |
| dc.date.accessioned | 2026-07-07T12:40:03Z | |
| dc.date.available | 2026-07-07T12:40:03Z | |
| dc.description | Isoradial dimer models were introduced in \cite{Kenyon3} - they consist of dimer models whose underlying graph satisfies a simple geometric condition, and whose weight function is chosen accordingly. In this paper, we prove a conjecture of \cite{Kenyon3}, namely that for periodic isoradial dimer models, the growth rate of the toroidal partition function has a simple explicit formula involving the local geometry of the graph only. This is a surprising feature of periodic isoradial dimer models, which does not hold in the general periodic dimer case \cite{KOS}. | |
| dc.description | 12 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0605583 | |
| dc.identifier | http://arxiv.org/abs/math/0605583 | |
| dc.identifier | Probab. Theory Related Fields 138 (2007), no. 3-4, 451--462. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219330 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B20 | |
| dc.title | Partition function of periodic isoradial dimer models | |
| dc.type | text |