## Non-uniqueness of Gibbs Measure for Models With Uncountable Set of Spin Values on a Cayley Tree    [PDF]

Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov
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.
View original: http://arxiv.org/abs/1202.2542