Geodesic
One-dimensional lattice models with nonsummable interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 315-320 
N. K. Fazlutdinov. One-dimensional lattice models with nonsummable interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 315-320. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a14/
@article{TMF_1985_63_2_a14,
     author = {N. K. Fazlutdinov},
     title = {One-dimensional lattice models with nonsummable interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {315--320},
     year = {1985},
     volume = {63},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a14/}
}
TY  - JOUR
AU  - N. K. Fazlutdinov
TI  - One-dimensional lattice models with nonsummable interaction
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 315
EP  - 320
VL  - 63
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a14/
LA  - ru
ID  - TMF_1985_63_2_a14
ER  - 
%0 Journal Article
%A N. K. Fazlutdinov
%T One-dimensional lattice models with nonsummable interaction
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 315-320
%V 63
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a14/
%G ru
%F TMF_1985_63_2_a14

Voir la notice de l'article provenant de la source Math-Net.Ru

One-dimensional lattice models with interaction given by a Toeplitz form are considered. It is shown that in this case a free energy exists for a large class of models with nonsummable interaction.

[1] Vladimirov V. S., Volovich I. V., TMF, 54:1 (1983), 8–22 | MR

[2] Malyshev V. A., Elementarnoe vvedenie v matematicheskuyu fiziku beskonechnochastichnykh sistem, Preprint R17-83-363, OIYaI, Dubna, 1983 | MR

[3] Bouen R., Metody simvolicheskoi dinamiki, Mir, M., 1979, s. 29.

[4] Ryuell D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971, s. 34.