Skip to Main content Skip to Navigation
Conference papers

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

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.
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download

https://hal.inria.fr/hal-01185180
Contributor : Coordination Episciences Iam <>
Submitted on : Wednesday, August 19, 2015 - 11:44:27 AM
Last modification on : Thursday, January 11, 2018 - 6:20:17 AM
Long-term archiving on: : Friday, November 20, 2015 - 10:42:23 AM

File

dmAJ0129.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01185180, version 1

Collections

Citation

Philippe Duchon. On the link pattern distribution of quarter-turn symmetric FPL configurations. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.331-342. ⟨hal-01185180⟩

Share

Metrics

Record views

118

Files downloads

568