Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model |
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| Authors: | U. A. Rozikov |
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| Affiliation: | (1) Romanovskii Institute for Mathematics, Republic of Uzbekistan Academy of Sciences, Tashkent, Republic of Uzbekistan |
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| Abstract: | We prove the existence of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model on a Cayley tree and describe them constructively. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 118, No. 1, pp. 95–104, January, 1999. |
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