Geodesic
Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 112-132

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

We consider the Potts model with competing interactions on the Cayley tree of order $k$ with $k\geq 2$. We describe the sets of periodic and weakly periodic ground states corresponding to normal subgroups of the group representation of the Cayley tree of index $4$. 
@article{MT_2015_18_2_a6,
     author = {M. A. Rasulova and M. M. Rahmatullaev},
     title = {Periodic and weakly periodic ground states for the {Potts} model with competing interactions on the {Cayley} tree},
     journal = {Matemati\v{c}eskie trudy},
     pages = {112--132},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2015_18_2_a6/}
}
TY  - JOUR
AU  - M. A. Rasulova
AU  - M. M. Rahmatullaev
TI  - Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
JO  - Matematičeskie trudy
PY  - 2015
SP  - 112
EP  - 132
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2015_18_2_a6/
LA  - ru
ID  - MT_2015_18_2_a6
ER  - 
%0 Journal Article
%A M. A. Rasulova
%A M. M. Rahmatullaev
%T Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
%J Matematičeskie trudy
%D 2015
%P 112-132
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2015_18_2_a6/
%G ru
%F MT_2015_18_2_a6
M. A. Rasulova; M. M. Rahmatullaev. Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree. Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 112-132. http://geodesic.mathdoc.fr/item/MT_2015_18_2_a6/