L. Benigni

activity

20172026

most citedEigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices

28 citations · 92 across the 10 of their papers we have counts for

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Showing 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

Determinantal structures for Bessel fields

Lucas Benigni, Pei-Ken Hung, Xuan Wu

A Bessel field $B = {B (α, t), α \in N_{0}, t \in R}$ is a two-variable random field such that for every $(α, t)$ , $B (α, t)$ has the law of a…

math.PR2021★ 22 cited

Fluctuations in local quantum unique ergodicity for generalized Wigner matrices

Lucas Benigni, Patrick Lopatto

We study the eigenvector mass distribution for generalized Wigner matrices on a set of coordinates $I$ , where $N^{ε} \leq ∣ I ∣ \leq N^{1 - ε}$ , and prove it converg…