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math-ph2017
Non-translation-invariant Gibbs Measures for Models With Uncountable Set of Spin Values on a Cayley Tree
U. A. Rozikov, G. I. Botirov
We consider models with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . It is known that the "splitting Gibbs measures"…
math-ph2017
Phase transition for models with continuum set of spin values on Bethe lattice
Yu. Kh. Eshkabilov, G. I. Botirov, F. H. Haydarov
In this paper we consider models with nearest-neighbor interactions and with the set [0,1] of spin values, on a Bethe lattice (Cayley tree) of an arbitrary order. These models depe…