5 citations · 7 across the 9 of their papers we have counts for
4 papers · 1 filter
Half-turn symmetric FPLs with rare couplings and tilings of hexagons
Jean-Christophe Aval, Philippe Duchon
In this work, we put to light a formula that relies the number of fully packed loop configurations (FPLs) associated to a given coupling pi to the number of half-turn symmetric FPL…
Enumeration of alternating sign matrices of even size (quasi-)nvariant under a quarter-turn rotation
Jean-Christophe Aval, Philippe Duchon
The aim of this work is to enumerate alternating sign matrices (ASM) that are quasi-invariant under a quarter-turn. The enumeration formula (conjectured by Duchon) involves, as a p…
Enumeration of alternating sign matrices of even size (quasi)-invariant under a quarter-turn rotation
Jean-Christophe Aval, Philippe Duchon
The aim of this work is to enumerate alternating sign matrices (ASM) that are quasi-invariant under a quarter-turn. The enumeration formula (conjectured by Duchon) involves, as a p…
On the link pattern distribution of quarter-turn symmetric FPL configurations
Philippe Duchon
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, e…