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math.PR2026
Local law and delocalization for the Sachdev-Ye-Kitaev model
Lucas Benigni, Giorgio Cipolloni
We establish a mesoscopic local law and quantitative eigenvector-delocalization estimates for the Sachdev--Ye--Kitaev model (SYK) Hamiltonian of interacting Majorana fermions s…
math.PR2026
Quantitative eigenvector universality for generalized Wigner matrices
Lucas Benigni, Patrick Lopatto
We present a novel approach to eigenvector universality for generalized Wigner matrices. Our main consequences are asymptotic normality of joint eigenvector projections everywhere…