论文标题
部分可观测时空混沌系统的无模型预测
Faithful invariant random subgroups in acylindrically hyperbolic groups
论文作者
论文摘要
在Sun和Kechris Quorning的工作的基础上，我们证明每个酰基柔软的双曲线组$ G $都承认了一种弱混合的概率度量保留动作$ g \ curvearrowright（x，x，\ nathcal {b}，μ）$，这是忠实的，但本质上是免费的。换句话说，$ g $承认一个弱小的非平凡的忠实国税局。我们还证明，每个非元素双曲线组都接受具有相同特性的特征随机亚组。
Building on work from Sun and Kechris-Quorning, we prove that every acylindrically hyperbolic group $G$ admits a weakly mixing probability measure preserving action $G \curvearrowright (X,\mathcal{B},μ)$ which is faithful but not essentially free. In other words, $G$ admits a weakly mixing nontrivial faithful IRS. We also prove that every non-elementary hyperbolic group admits a characteristic random subgroup with the same properties.
