Geodesic
Diffusion of Loops
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 1, pp. 56-64 
T. Jonsson. Diffusion of Loops. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 1, pp. 56-64. http://geodesic.mathdoc.fr/item/TMF_2001_128_1_a5/
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     author = {T. Jonsson},
     title = {Diffusion of {Loops}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {128},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study a lattice model that is closely related to the Ising model and can be regarded as describing diffusion of loops in two dimensions. The time development is given by a transfer matrix for a random surface model on a three-dimensional lattice. The transfer matrix is indexed by loops and is invariant under a group of motions in the loop space. The eigenvalues of the transfer matrix are calculated in terms of the partition function and the correlation functions of the Ising model.

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