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

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 $k\ge 2$. We prove that each of the constructed model has at least two translational-invariant Gibbs measures.

arXiv comment16 pages

Cited by in corpus (2)

• Uniqueness of Gibbs Measure for Models With Uncountable Set of Spin Values on a Cayley Tree
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