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A limit theorem for one-dimensional Gibbs measures under conditions on the empirical field

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  • Menzel, Peter

Abstract

Starting from a principle of large deviations for the empirical field of a Gibbs measure, we prove a conditional limit theorem for one-dimensional Gibbs measures. Given that the empirical field lies in a subset of probability measures, the conditional Gibbs measures converge in some sense to the entropy minimizing measures of this subset.

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  • Menzel, Peter, 1993. "A limit theorem for one-dimensional Gibbs measures under conditions on the empirical field," Stochastic Processes and their Applications, Elsevier, vol. 44(2), pages 347-359, February.
    • Handle: RePEc:eee:spapps:v:44:y:1993:i:2:p:347-359
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