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
ABI
Abstract
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.