Abstract
A large deviation principle for Gibbs random fields on Zd is proven and a corresponding large deviations proof of the Gibbs variational formula is given. A generalization of the Lanford theory of large deviations is also obtained.
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This work was partially supported by NSF-DMR81-14726
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Olla, S. Large deviations for Gibbs random fields. Probab. Th. Rel. Fields 77, 343–357 (1988). https://doi.org/10.1007/BF00319293
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DOI: https://doi.org/10.1007/BF00319293