Furthermore, we show that if its proximal relationship is dense in a neighborhood of a point on the diagonal, then the system is Li-Yorke chaotic.

• 然后我们证明了一个关于可测覆盖和可测剖分熵关系的定理并加强了熵的局部变分原理， 由此获得了拓扑熵串和测度熵串的变分关系。