4 citations · 4 across the 4 of their papers we have counts for
6 papers
Combinatorics and loop equations for antisymmetrised and Hermitised matrix product ensembles
Stephane Dartois, Anas. A Rahman
The order antisymmetrised matrix product ensemble is represented by the product , where are independent real Ginibre matrices…
Equivalence of Fixed-Rank and Rank-One Even-Order Symmetric Tensor Factorization
Ruba Hussen Morsi, Anas A. Rahman
In the recent work of Barbier, Ko, and the second present author on sublinear-rank symmetric matrix factorization [Math. Stat. Learn. 9 (2026), 1-68], a key result is that, in the…
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…
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…
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…
A multiscale cavity method for sublinear-rank symmetric matrix factorization
Jean Barbier, Justin Ko, Anas A. Rahman
We consider a statistical model for symmetric matrix factorization with additive Gaussian noise in the high-dimensional regime, where the rank of the signal matrix to infer sca…