Abstract
We study p-adic hard core models with three states on the Cayley tree. It is known that there are four types of such models. We find conditions that must be imposed on the order k of the Cayley tree and on the prime p for a translation-invariant p-adic Gibbs measure to exist.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 177, No. 1, pp. 68–82, October, 2013.
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Khakimov, O.N. p-adic Gibbs measures for the hard core model with three states on the Cayley tree. Theor Math Phys 177, 1339–1351 (2013). https://doi.org/10.1007/s11232-013-0107-0
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DOI: https://doi.org/10.1007/s11232-013-0107-0