Non-uniqueness of Gibbs Measure for Models With Uncountable Set of Spin   Values on a Cayley Tree
  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. 
Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov
math.FA math-ph math.MP