2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE
Yu. Kh. EshkabilovNational University of Uzbekistan, Tashkent, UzbekistanF. H. HaydarovNational University of Uzbekistan, Tashkent, UzbekistanU. A. Rozikov
2016en
Ochiq kirish: yoʻq
ABI
Annotatsiya
In this paper we construct several models with nearest-neighbor interactions and with the set $[0,1]$ of spin values, on a Cayley tree of order $k\geq 2$. We prove that each of the constructed model has at least two translational-invariant Gibbs measures.
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