Benson Au

activity

20162023

most citedRigid structures in the universal enveloping traffic space

1 citations · 2 across the 4 of their papers we have counts for

collaborators

7 papers

math.PR2023

BBP phenomena for deformed random band matrices

Benson Au

We study additive finite-rank perturbations of random periodic band matrices under the assumption that the nontrivial eigenvalues of the perturbation do not depend on the dimension…

math.PR2021★ 1 cited

Spectral asymptotics for contracted tensor ensembles

Benson Au, Jorge Garza-Vargas

Let $T_{d, N} : Ω \to R^{N^{d}}$ be a random real symmetric Wigner-type tensor. For unit vectors $(u_{N}^{(i, j)})_{i \in I, j \in [d - 2]} \subset S^{N - 1}$ , we…

math.PR2021

Semicircular families of general covariance from Wigner matrices with permuted entries

Benson Au

Let $(σ_{N}^{(i)})_{i \in I}$ be a family of symmetric permutations of the entries of a Wigner matrix $W_{N}$ . We characterize the limiting traffic distribution of the corresp…

math.OA2020★ 1 cited

Rigid structures in the universal enveloping traffic space

Benson Au, Camille Male

For any tracial non-commutative probability space $(A, φ)$ , Cébron, Dahlqvist, and Male showed that one can always construct an enveloping traffic space $(\mathcal{G}(\ma…

math.PR2019

Finite-rank perturbations of random band matrices via infinitesimal free probability

Benson Au

We prove a sharp $N$ transition for the infinitesimal distribution of a periodically banded GUE matrix. For band widths $b_{N} = Ω (N)$ , we further prove that our model…

math.PR2018

Large permutation invariant random matrices are asymptotically free over the diagonal

Benson Au, Guillaume Cébron, Antoine Dahlqvist +2

We prove that independent families of permutation invariant random matrices are asymptotically free over the diagonal, both in probability and in expectation, under a uniform bound…