On the link pattern distribution of quarter-turn symmetric FPL configurations

Details On the link pattern distribution of quarter-turn symmetric FPL configurations On the link pattern distribution of quarter-turn symmetric FPL configurations

2007-11-19

arxiv.org/abs/0711.2871v1

Mathematics

Combinatorics

12 pages, 6 figures. Submitted to FPSAC 2008

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the link pattern distribution of quarter-turn symmetric FPL configurations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the link pattern distribution of quarter-turn symmetric FPL configurations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the link pattern distribution of quarter-turn symmetric FPL configurations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-115697