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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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