Hopf分解与时球极限集
Hopf decomposition and horospheric limit sets
摘要：
通过研究具有拟不变测度的可数群作用的常返性与其遍历分量的结构之间的关系，我们建立了作用的Radon-Nikodym导数的Hopf分解为保守部分和耗散部分的简单一般描述.作为应用，我们证明了Gromov双曲空间的离散等距群关于任何不变拟共形流的边界作用量的保守部分（mod 0）与该群的大水平极限集重合.
英文摘要：
By looking at the relationship between the recurrence properties of a countable group action with a quasi-invariant measure and the structure of its ergodic components we establish a simple general description of the Hopf decomposition of the action into the conservative and the dissipative parts in terms of the Radon--Nikodym derivatives of the action. As an application we prove that the conservative part of the boundary action of a discrete group of isometries of a Gromov hyperbolic space with respect to any invariant quasi-conformal stream coincides (mod 0) with the big horospheric limit set of the group.
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