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An Information-Theoretic Central Limit Theorem for Finitely Susceptible FKG Systems

An Information-Theoretic Central Limit Theorem for Finitely Susceptible FKG Systems

We adapt arguments concerning entropy-theoretic convergence from the independent case to the case of Fortuin--Kasteleyn--Ginibre (FKG) random variables. FKG systems are chosen since their dependence structure is controlled through covariance alone, though in what follows we use many of the same arguments for weakly dependent random variables. As in previous …