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Anas A. Rahman

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Preprint Aug 2026

A contiguity approach to replica symmetric marginals

We develop a probabilistic cavity-contiguity framework for proving replica-symmetric convergence of local marginals in mean-field Gibbs systems. The approach is based on cavity decompositions of the Hamiltonian together with direct comparison of probability measures through Radon-Nikodym derivatives and Hellinger-type...

E. Mordecki, Anas A. Rahman, Manuel Sáenz · 0 citations

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