3 papers
math.PR2026
Weak local law and delocalization for the Sachdev-Ye-Kitaev model
Lucas Benigni, Giorgio Cipolloni
We establish a weak mesoscopic local law and quantitative eigenvector-delocalization estimates for the SYK Hamiltonian. For even , we prove that the normalize…
math.PR2026
Quantitative eigenvector universality for generalized Wigner matrices
Lucas Benigni
We present a novel approach to eigenvector universality for generalized Wigner matrices. Our main consequences are asymptotic normality of joint eigenvector projections everywhere…
math.PR2025
Fluctuations in Quantum Unique Ergodicity at the Spectral Edge
Lucas Benigni, Nixia Chen, Patrick Lopatto +1
We study the eigenvector mass distribution of an Wigner matrix on a set of coordinates satisfying for some constant . For eigenvectors corresp…