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The Rotor model and combinatorics

Batchelor, Murray; de Gier, J; Nienhuis, B

Description

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.

dc.contributor.authorBatchelor, Murray
dc.contributor.authorde Gier, J
dc.contributor.authorNienhuis, B
dc.date.accessioned2015-12-13T22:19:30Z
dc.identifier.issn0217-9792
dc.identifier.urihttp://hdl.handle.net/1885/71837
dc.description.abstractWe 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.
dc.publisherWorld Scientific Publishing Company
dc.sourceInternational Journal of Modern Physics B
dc.subjectKeywords: conference paper; energy; model; waveform
dc.titleThe Rotor model and combinatorics
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume16
dc.date.issued2002
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.ariespublicationMigratedxPub2907
local.type.statusPublished Version
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationde Gier, J, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationNienhuis, B, University of Amsterdam
local.description.embargo2037-12-31
local.bibliographicCitation.issue14-15
local.bibliographicCitation.startpage1883
local.bibliographicCitation.lastpage1889
dc.date.updated2015-12-11T07:48:08Z
local.identifier.scopusID2-s2.0-0037142580
CollectionsANU Research Publications

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