7 papers · 1 filter
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 entries is invertibl…
The circular law for random band matrices with arbitrary doubly stochastic variance profiles
Yi Han
We consider the convergence of the ESD for non-Hermitian random band matrices with independent entries to the circular law, which is the uniform measure on the unit disk in the cen…
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 with independent entries. The matrix has blocks on the diag…
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…
The circular law for non-Hermitian random band matrices up to bandwidth
Yi Han
We consider inhomogeneous square random matrices of size with independent entries of mean 0 and finite variance. We assume that the variance profile of this matrix is doubly st…
Spectral radius concentration for inhomogeneous random matrices with independent entries
Yi Han
Let be a square random matrix of size , with mean zero, independent but not identically distributed entries, with variance profile . When entries are i.i.d. with unit var…