5 problems

Product conjecture. The product of the $u_i$-tilted matrices

Let $x,y,d\in\mathbb R^n$ with $d\geq 0$ be given. A matrix $A\in\mathbb R_+^{n\times n}$ is column-stochastic when $\mathbbm e^\top A=\mathbbm e^\top$; it fixes $d$ when $Ad=d$. T…

Let $A$ be a stochastic matrix of order $n$ whose characteristic polynomial is Type III: … where $n=qd+y$, $1\leq y\leq q-1$, and $d\geq 2$. Type III stochastic-matrix graph conjec…

Let $A$ be a stochastic matrix with distinct eigenvalues. Say that $A$ has the strong anti-diagonal eigenvalue property when it satisfies the stronger anti-diagonal eigenvalue cond…

Let $n$ be a positive integer and let $\mathcal{S}$ be an SIA set of $n \times n$ stochastic matrices. Its SIA-index is the length of the shortest SIA product formed from matrices…