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20122025
most citedUniqueness of Gibbs Measure for Models With Uncountable Set of Spin Values on a Cayley Tree

32 citations · 119 across the 23 of their papers we have counts for

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math.FA2012★ 26 cited

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

Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov

In this paper we construct several models with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . We prove that each of the…

math.FA2012★ 32 cited

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

Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov

We consider models with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . It is known that the "splitting Gibbs measures"…