On the link pattern distribution of quarter-turn symmetric FPL configurations
Combinatorics
2007-11-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0711.2871,
title = {On the link pattern distribution of quarter-turn symmetric FPL configurations},
author = {Philippe Duchon},
journal= {arXiv preprint arXiv:0711.2871},
year = {2007}
}
Comments
12 pages, 6 figures. Submitted to FPSAC 2008