论文标题
严格规则的二次BISOCHASIC操作员的描述和示例
Description of the set of strictly regular quadratic bistochastic operators and examples
论文作者
论文摘要
本文重点介绍了标准单纯形上的二次BISOCHASIC操作员（QBO）的动态系统。在本文中，我们展示了BISCOCHASIC OTERATOR与极端BISOCHASIC OTERATOR的动力学系统的动态系统连接的特征。此外，我们证明，几乎所有二次的双重运算符都是严格规则的，并描述了凸多属QBO中严格规则的二次二次be骨运算符。此外，事实证明，在QBO集中严格规则的QBO集的密度，并给出了严格规则的BISCOCHASIC操作员的非平凡示例。
The present paper focuses on the dynamical systems of the quadratic bistochastic operators (QBO) on the standard simplex. In the paper, we show the character of connection of the dynamical systems of a bistochastic operator with the dynamical systems of the extreme bistochastic operators. In addition, we prove that almost all quadratic bistochastic operators are strictly regular and give a description of the strictly regular quadratic bistochastic operators in the convex polytope QBO. Furthermore, the density of the set of strictly regular QBO in the set of QBO is proved and nontrivial examples of strictly regular bistochastic operators are given.
