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The Rotor model and combinatorics

Authors :
Batchelor, Murray
de Gier, J
Nienhuis, B
Batchelor, Murray
de Gier, J
Nienhuis, B
Source :
International Journal of Modern Physics B
Publication Year :
2002

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 AV(2m + 1;3), which 3-enumerates vertically symmetric alternating sign matrices.

Details

Database :
OAIster
Journal :
International Journal of Modern Physics B
Publication Type :
Electronic Resource
Accession number :
edsoai.on1291799837
Document Type :
Electronic Resource