From the 1 of 3 linked papers with an AI index.
3 papers
math.PR2026
Rank deficiency of Bernoulli random matrices for growing corank
Zeyan Song, Hanchao Wang
The paper calculates the asymptotic probability that an n×n Bernoulli random matrix has a corank of at least k when k grows slower than √(log n), showing it equals (1‑p)^{kn} up to…
math.PR2026
The eigenvalue gap of inhomogeneous symmetric discrete random matrix
Zeyan Song, Hanchao Wang
Let A be an n x n symmetric random matrix whose upper-triangular entries are independent and follow possibly non-identical subgaussian distributions. This paper investigates the sp…
math.PR2025
The Rank and Singular Values of the Inhomogeneous Subgaussian Random Matrices
Guozheng Dai, Zeyan Song, Hanchao Wang
Let A be an n*n random matrix with mean zero and independent inhomogeneous non-constant subgaussian entries. We get that for any k<c\sqrt{n}, the probability of the matrix has a lo…