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math-ph2026
A contiguity approach to replica symmetric marginals
Ernesto Mordecki, Anas A. Rahman, Manuel Sáenz
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 dec…
math-ph2026
Edge density expansions for the classical Gaussian and Laguerre ensembles
Peter J. Forrester, Anas A. Rahman, Bo-Jian Shen
Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of Gaussian and Laguerre random mat…