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math.PR2026
Free-Probabilistic State Evolution and Random Matrix Discrepancy
August Y. Chen, Ahmed El Alaoui
Let be independent real symmetric Gaussian random matrices, and consider the linear operator , $x\in \mathbb{R}^n…
math.PR2026
Mixing of Glauber Dynamics on High Overlap Gibbs Measures
Afonso S. Bandeira, Ahmed El Alaoui, Almut Rödder
We show fast mixing of Glauber dynamics for certain quadratic Gibbs measures with large external fields. The main ingredient is an overlap condition that allows us to control corre…