Weakly periodic Gibbs measures for the~Ising model on the~Cayley tree of order $k=2$
Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 210-224
Voir la notice de l'article provenant de la source Math-Net.Ru
We prove the existence of weakly periodic Gibbs measures for the Ising model
on the Cayley tree of order $k=2$ with respect to a normal divisor of
index 4.
Keywords:
Cayley tree, Gibbs measure, Ising model, weakly periodic measure.
@article{TMF_2021_206_2_a5,
author = {M. M. Rahmatullaev and Zh. D. Dekhkonov},
title = {Weakly periodic {Gibbs} measures for {the~Ising} model on {the~Cayley} tree of order $k=2$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {210--224},
publisher = {mathdoc},
volume = {206},
number = {2},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a5/}
}
TY - JOUR AU - M. M. Rahmatullaev AU - Zh. D. Dekhkonov TI - Weakly periodic Gibbs measures for the~Ising model on the~Cayley tree of order $k=2$ JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2021 SP - 210 EP - 224 VL - 206 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a5/ LA - ru ID - TMF_2021_206_2_a5 ER -
%0 Journal Article %A M. M. Rahmatullaev %A Zh. D. Dekhkonov %T Weakly periodic Gibbs measures for the~Ising model on the~Cayley tree of order $k=2$ %J Teoretičeskaâ i matematičeskaâ fizika %D 2021 %P 210-224 %V 206 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a5/ %G ru %F TMF_2021_206_2_a5
M. M. Rahmatullaev; Zh. D. Dekhkonov. Weakly periodic Gibbs measures for the~Ising model on the~Cayley tree of order $k=2$. Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 210-224. http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a5/