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The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model |
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| Authors: | U A Rozikov R M Khakimov |
| Institution: | 1. Institute of Mathematics at National University of Uzbekistan, Tashkent, Uzbekistan |
| Abstract: | We study the hard-core model on the Cayley tree. We show that this model admits only periodic Gibbs measures with the period two. We find sufficient conditions for all weakly periodic Gibbs measures to be translation invariant. |
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