Abstract
We consider a model with nearest-neighbor interactions and the set \([0,1]\) of spin values on a Bethe lattice (Cayley tree) 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.
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The authors thank a referee for reading the manuscript carefully and for several suggestions that improved the paper.
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Eshkabilov, Y.K., Botirov, G.I. & Khaidarov, F.K. Phase transitions for models with a continuum set of spin values on a Bethe lattice. Theor Math Phys 205, 1372–1380 (2020). https://doi.org/10.1134/S0040577920100104
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DOI: https://doi.org/10.1134/S0040577920100104