On the link pattern distribution of quarter-turn symmetric FPL configurations
| dc.creator | Duchon, Philippe | |
| dc.date | 2007-11-19 | |
| dc.date.accessioned | 2026-07-07T08:43:42Z | |
| dc.date.available | 2026-07-07T08:43:42Z | |
| dc.description | We present new conjectures on the distribution of link patterns for fully-packed loop (FPL) configurations that are invariant, or almost invariant, under a quarter turn rotation, extending previous conjectures of Razumov and Stroganov and of de Gier. We prove a special case, showing that the link pattern that is conjectured to be the rarest does have the prescribed probability. As a byproduct, we get a formula for the enumeration of a new class of quasi-symmetry of plane partitions. | |
| dc.description | 12 pages, 6 figures. Submitted to FPSAC 2008 | |
| dc.identifier | https://arxiv.org/abs/0711.2871 | |
| dc.identifier | http://arxiv.org/abs/0711.2871 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142409 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A15 (primary) 05B45, 82B20 (secondary) | |
| dc.title | On the link pattern distribution of quarter-turn symmetric FPL configurations | |
| dc.type | text |