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

Peter Menzel

Stochastic Processes and their Applications, 1993, vol. 44, issue 2, 347-359

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.

Date: 1993
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