Yi Han

activity

20242026

collaborators

9 papers

math.PR2026

Large deviations of the spectral radius of iid subgaussian random matrices

Yi Han

We study large deviations of the spectral radius of $X_{n} = n^{- 1/2} (ξ_{ij})_{i, j = 1}^{n}$ , where the entries are iid, centered, variance-one, and subgaussian, with zero pseudovariance i…

math.PR2026

The circular law for non-Hermitian random band matrices: optimal bandwidth, periodic profile and discrete law

Yi Han

We consider non-Hermitian random band matrices with growing bandwidth and study convergence of their empirical spectral distributions to the circular law. Let $N$ denote the matrix…

math.PR2025

Circular law for non-Hermitian block band matrices with slowly growing bandwidth

Yi Han

We consider the empirical eigenvalue distribution for a class of non-Hermitian random block tridiagonal matrices $T$ with independent entries. The matrix has $n$ blocks on the diag…

math.PR2025

The circular law for non-Hermitian random band matrices up to bandwidth $N^{2/3 + c}$

Yi Han

We prove circular laws for non-Hermitian random matrices in two regimes. First, for doubly stochastic variance profiles bounded by $C / W$ and satisfying symmetry or transitive invar…

math.PR2025

Invertibility for non-Hermitian and symmetric random band matrices with sublinear bandwidth and discrete entries

Yi Han

A well-known result in random matrix theory, proven by Kahn, Komlós and Szemerédi in 1995, states that a square random matrix with i.i.d. uniform ${\pm 1}$ entries is invertible…

math.PR2025

Spectral radius concentration for inhomogeneous random matrices with independent entries

Yi Han

Let $A$ be a square random matrix of size $n$ , with mean zero, independent but not identically distributed entries, with variance profile $S$ . When entries are i.i.d. with unit var…

math.PR2024

The circular law for random band matrices with arbitrary doubly stochastic variance profiles

Yi Han

We study the circular law for non-Hermitian random band matrices with independent entries and arbitrary doubly stochastic variance profiles. For matrices of size $n$ and bandwidth…

math.PR2024

Outliers and bounded rank perturbation for non-Hermitian random band matrices

Yi Han

In this work we consider general non-Hermitian square random matrices $X$ that include a wide class of random band matrices with independent entries. Whereas the existence of limit…

math.PR2024

Finite rank perturbation of non-Hermitian random matrices: heavy tail and sparse regimes

Yi Han

We revisit the problem of perturbing a large, i.i.d. random matrix by a finite rank error. It is known that when elements of the i.i.d. matrix have finite fourth moment, then the o…

Large deviations of the spectral radius of iid subgaussian random matrices

The circular law for non-Hermitian random band matrices: optimal bandwidth, periodic profile and discrete law

Circular law for non-Hermitian block band matrices with slowly growing bandwidth

The circular law for non-Hermitian random band matrices up to bandwidth N2/3+c

Invertibility for non-Hermitian and symmetric random band matrices with sublinear bandwidth and discrete entries

Spectral radius concentration for inhomogeneous random matrices with independent entries

The circular law for random band matrices with arbitrary doubly stochastic variance profiles

Outliers and bounded rank perturbation for non-Hermitian random band matrices

Finite rank perturbation of non-Hermitian random matrices: heavy tail and sparse regimes

The circular law for non-Hermitian random band matrices up to bandwidth $N^{2/3 + c}$