Abstract
It is shown that a unique Gibbs measure of infinite spin system with short range interaction on one dimensional lattice satisfies log-Sobolev inequality.
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Communicated by M. Aizenman
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Zegarlinski, B. Log-Sobolev inequalities for infinite one dimensional lattice systems. Commun.Math. Phys. 133, 147–162 (1990). https://doi.org/10.1007/BF02096558
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DOI: https://doi.org/10.1007/BF02096558