3 papers
math.PR2025
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…
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 entries is invertible…
math.PR2025
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…