5 problems

Let $B=(B_{ij})$ be an $n\times n$ random matrix whose entries are independent Bernoulli random variables with … When $p$ is sufficiently small, zero rows and columns are expected…

Litvak–Tikhomirov conjecture. Then

Let $B_n(p)$ be an $n\times n$ random matrix with independent and identically distributed Bernoulli entries of mean $p$, and let $q_n(p)=\mathbb{P}[B_n(p)\text{ is singular}]$. Loc…

For each $n$, let $p_n\in(0,1/2]$, and let $M_n$ be an $n\times n$ random matrix with independent identically distributed Bernoulli($p_n$) entries, meaning entries in $\{0,1\}$ wit…

Let $P_n$ be the probability that an $n\times n$ Bernoulli matrix is singular. Asymptotic singularity probability conjecture. As $n\to\infty$, one has … This matches the asymptotic…