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The Rotor Model and Combinatorics | M.T. Batchelor
; J. de Gier
; B. Nienhuis
; | Date: |
2 Apr 2002 | Journal: | Int. J. Mod. Phys. B 16 (2002) 1883-1890 | Subject: | Mathematical Physics; Combinatorics; Statistical Mechanics MSC-class: 82B23; 05A15 | math-ph cond-mat.stat-mech math.CO math.MP | Affiliation: | ANU), J. de Gier (ANU) and B. Nienhuis (Amsterdam | Abstract: | We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O($n=1$) model we find the number $A_{
m V}(2m+1;3)$, which 3-enumerates vertically symmetric alternating sign matrices. | Source: | arXiv, math-ph/0204002 | Services: | Forum | Review | PDF | Favorites |
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