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Nihat Ay and Andreas Knauf
We investigate the structure of the global maximizers of stochastic interdependence, which is measured by the Kullback-Leibler divergence of the underlying joint probability distribution from the exponential family of factorizable random fields (multi-information). As a consequence of our structure results, it comes out that random fields with globally maximal multi-information are contained in the topological closure of the exponential family of pair interactions.