Geodesic
Four-vertex model and random tilings
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 25-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the exactly solvable four-vertex model on a square lattice with different boundary conditions. Using the algebraic Bethe ansatz method allows calculating the partition function of the model. For fixed boundary conditions, we establish the connection between the scalar product of the state vectors and the generating function of the column- and row-strict boxed plane partitions. We discuss the tiling model on a periodic lattice.
Keywords: integrable model, Bethe ansatz
Mots-clés : plane partition. 
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N. M. Bogolyubov. Four-vertex model and random tilings. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 25-38. http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a2/

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