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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…
math-ph2012
Phase Transitions for a model with uncountable set of spin values on a Cayley tree
Yu. Kh. Eshkabilov, U. A. Rozikov, G. I. Botirov
In this paper we consider a model with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . To study translation-invariant G…