Geodesic
Extremality of the~translation-invariant Gibbs measures for the~Potts model on the~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 117-134

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

We study translation-invariant Gibbs measures for the ferromagnetic Potts model with $q$ states on the Cayley tree of order $k$ and generalize some earlier results. We consider the question of the extremality of the known translation-invariant Gibbs measures for the Potts model with three states on the Cayley tree of order $k=3$.
Keywords: Cayley tree, Potts model, Gibbs measure, translation-invariant measure, measure extremality.
Mots-clés : configuration 
@article{TMF_2018_196_1_a9,
     author = {U. A. Rozikov and R. M. Khakimov and F. Kh. Khaidarov},
     title = {Extremality of the~translation-invariant {Gibbs} measures for {the~Potts} model on {the~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {117--134},
     publisher = {mathdoc},
     volume = {196},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a9/}
}
TY  - JOUR
AU  - U. A. Rozikov
AU  - R. M. Khakimov
AU  - F. Kh. Khaidarov
TI  - Extremality of the~translation-invariant Gibbs measures for the~Potts model on the~Cayley tree
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2018
SP  - 117
EP  - 134
VL  - 196
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a9/
LA  - ru
ID  - TMF_2018_196_1_a9
ER  - 
%0 Journal Article
%A U. A. Rozikov
%A R. M. Khakimov
%A F. Kh. Khaidarov
%T Extremality of the~translation-invariant Gibbs measures for the~Potts model on the~Cayley tree
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2018
%P 117-134
%V 196
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a9/
%G ru
%F TMF_2018_196_1_a9
U. A. Rozikov; R. M. Khakimov; F. Kh. Khaidarov. Extremality of the~translation-invariant Gibbs measures for the~Potts model on the~Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 117-134. http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a9/