3 papers
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…
math.CO2025
Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs
Anas A. Rahman, Daniel Munoz George, James A. Mingo
We elucidate a bijection between ribbon graphs on the real projective plane and non-crossing annular pairings that relate to the correction term of the GOE and LOE spectral m…