Geodesic
Phase transitions for models with a~continuum set of spin values on
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 146-155

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

We consider a model with nearest-neighbor interactions and the set $[0,1]$ of spin values on a Bethe lattice {(}Cayley tree{\rm)} of arbitrary order. This model depends on a continuous parameter $\theta$ and is a generalization of known models. For all values of $\theta$, we give a complete description of the set of translation-invariant Gibbs measures of this model.
Keywords: Cayley tree, spin value, Gibbs measure, Hammerstein's equation, fixed point. 
@article{TMF_2020_205_1_a9,
     author = {Yu. Kh. Eshkabilov and G. I. Botirov and F. H. Haydarov},
     title = {Phase transitions for models with a~continuum set of spin values on},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {146--155},
     publisher = {mathdoc},
     volume = {205},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a9/}
}
TY  - JOUR
AU  - Yu. Kh. Eshkabilov
AU  - G. I. Botirov
AU  - F. H. Haydarov
TI  - Phase transitions for models with a~continuum set of spin values on
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2020
SP  - 146
EP  - 155
VL  - 205
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a9/
LA  - ru
ID  - TMF_2020_205_1_a9
ER  - 
%0 Journal Article
%A Yu. Kh. Eshkabilov
%A G. I. Botirov
%A F. H. Haydarov
%T Phase transitions for models with a~continuum set of spin values on
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2020
%P 146-155
%V 205
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a9/
%G ru
%F TMF_2020_205_1_a9
Yu. Kh. Eshkabilov; G. I. Botirov; F. H. Haydarov. Phase transitions for models with a~continuum set of spin values on. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 146-155. http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a9/