论文标题
复发和不变措施的存在
Recurrence and the existence of invariant measures
论文作者
论文摘要
我们表明，复发条件不会在描述性设定的理论环境中产生不变的鲍尔概率措施，如果局部紧凑的抛光剂在标准的鲍尔（Standard Borel）空间上的骨骼动作满足这种状态，但没有一个不变性的概率，那么在一个不变的范围内就可以使boreel的行为不满意。
We show that recurrence conditions do not yield invariant Borel probability measures in the descriptive set-theoretic milieu, in the strong sense that if a Borel action of a locally compact Polish group on a standard Borel space satisfies such a condition but does not have an orbit supporting an invariant Borel probability measure, then there is an invariant Borel set on which the action satisfies the condition but does not have an invariant Borel probability measure.
