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math.PR2026
Spectral Universality for Matrices with Non-Linear Correlated Entries
Marwa Banna, Issa-Mbenard Dabo, Florence Merlevède
We establish nonasymptotic spectral comparison results for matrices whose entries are non-linear functions of an iid random field. Under an exponential decay assumption on an $\mat…
math.PR2026
Normal approximation for partial sums: general convex costs
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
We provide non-asymptotic bounds and asymptotic limits for convex transport costs between the distribution of partial sums of independent and identically distributed square integra…