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An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices

Hjalmar Rosengren (Institutionen för matematiska vetenskaper, matematik)
Advances in Applied Mathematics (0196-8858). Vol. 43 (2009), 2, p. 137-155.
[Artikel, refereegranskad vetenskaplig]

We obtain a new expression for the partition function of the 8VSOS model with domain wall boundary conditions, which we consider to be the natural extension of the Izergin-Korepin formula for the six-vertex model. As applications, we find dynamical (in the sense of the dynamical Yang-Baxter equation) generalizations of the enumeration and 2-enumeration of alternating sign matrices. The dynamical enumeration has a nice interpretation in terms of three-colourings of the square lattice.



Denna post skapades 2008-12-02. Senast ändrad 2014-09-29.
CPL Pubid: 79437

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur