Simona Diaconu

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20212026

most citedTwo CLTs for Sparse Random Matrices

2 citations · 3 across the 8 of their papers we have counts for

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Showing 2022 · math.PRShow all

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math.PR2022★ 2 cited

Two CLTs for Sparse Random Matrices

Simona Diaconu

Let $G = G (n, p_{n})$ be a homogeneous Erdös-Rényi graph, and $A$ its adjacency matrix with eigenvalues $λ_{1} (A) \geq λ_{2} (A) \geq ... \geq λ_{n} (A) .$ Local laws have been used to show that…

math.PR2022

Finite Rank Perturbations of Heavy-Tailed Wigner Matrices

Simona Diaconu

One-rank perturbations of Wigner matrices have been closely studied: let $P = \frac{1}{n} A + θ v v^{T}$ with $A = (a_{ij})_{1 \leq i, j \leq n} \in R^{n \times n}$ symmetric,…

math.PR2022

More Limiting Distributions for Eigenvalues of Wigner Matrices

Simona Diaconu

The Tracy-Widom distributions are among the most famous laws in probability theory, partly due to their connection with Wigner matrices. In particular, for $A=\frac{1}{\sqrt{n}}(a_…