论文标题
有限生成组的作用的定量不适
Quantitative Amenability for Actions of Finitely Generated Groups
论文作者
论文摘要
我们通过测量轨道图的有限亚图的边界来概括有限生成的组的等值谱的概念。我们证明，像组的经典等级曲线一样，基本无动作的等速度剖面的衰减等于Zimmer的含义。用于衡量衡量行动的作用，我们将作用和小组的等值材料和组相关。
We generalize the notion of isoperimetric profiles of finitely generated groups to their actions by measuring the boundary of finite subgraphings of the orbit graphing. We prove that like the classical isoperimetric profiles for groups, decay of the isoperimetric profile for an essentially-free action is equivalent to amenability of the action in the sense of Zimmer.For measure-preserving actions, we relate the isoperimetric profiles of the actions and the group.
