Non-uniqueness of Gibbs Measure for Models With Uncountable Set of SpinYu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov
Values on a Cayley Tree [PDF]
In this paper we construct several models with nearest-neighbor interactionsView original: http://arxiv.org/abs/1202.2542
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.