Phase Transitions for a model with uncountable set of spin values on a Cayley tree

Yu. Kh. Eshkabilov, U. A. Rozikov, G. I. Botirov

In this paper we consider a model with nearest-neighbor interactions and with the set $[0,1]$ of spin values, on a Cayley tree of order $k\ge 2$. To study translation-invariant G…