4 problems

Let $n\geq 2$, and consider the Jacobian matrix of the operator at its positive fixed point. Eigenvalue-2 conjecture. One eigenvalue of this Jacobian matrix is always $2$. The clai…

Let $S^2$ be the simplex, let $V$ be the operator defined by … . Conjecture. If … then … The preceding theorem establishes only that trajectories starting in $\hat M_4$ or…

Let $Q:{\mathbb R}^n\to{\mathbb R}^m$ be an elliptic quadratic operator with $\textup{rg}Q=2$, and let ${\overline K}'_Q$ denote its associated cone. Let $C_3$ be a three-dimension…

Let $V=(A_1|A_2|\cdots|A_m)$ be a doubly stochastic quadratic operator, where $\textbf{B}$ denotes the convex polytope of all such operators, and let $\textbf{U}$ denote the releva…