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math.PR2026
Almost-optimal bulk regularity conditions in the CLT for GE
Albert Zhang
We consider linear statistics of a Gaussian $\b$-ensemble. Following the work of \cite{LaSo22}, which was concerned only with Wigner matrices, we extend their…
math.PR2025
Quantitative gap universality for Wigner matrices
Albert Zhang
We obtain the explicit rate of convergence for the gaps of generalized Wigner matrices in the bulk of the spectrum, for distributions of matrix entries possibly atom…