Yi Han

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20242026

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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…

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