Geodesic
Linear transformation matrix for the correlation functions of the Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 280-288 
R. Z. Bariev; M. P. Zhelifonov. Linear transformation matrix for the correlation functions of the Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 280-288. http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

New formulation of the Ising problem is given, according to which the solution of the problem is reduced to diagonalizing the matrix of a certain linear transformation $W$ in the space of vectors composed of the correlation functions of the model. The structure of the new operator differs in a principal way from that of the usual transfer matrix. The matrix $W$ has a higher order and, for example, in the case of planar lattices it splits into separate blocks which can be easily diagonalized and lead to the exact solution of the problem.

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