论文标题
连续几何形状中链稳定器的不变平均值和动力学的浓度
Concentration of invariant means and dynamics of chain stabilizers in continuous geometries
论文作者
论文摘要
我们证明了对拓扑组不变手段的浓度不平等，即适合适合一系列可染成拓扑亚组的链条。结果是基于Azuma的Martingale不平等现象的应用，并提供了一种建立极端舒适性的方法。在这项技术的基础上，我们展示了由冯·诺伊曼（Von Neumann）连续的几何形状引起的极其正定群体的新例子。在此过程中，我们还回答了Pestov关于正式拓扑组直接产品的动态浓度的问题。
We prove a concentration inequality for invariant means on topological groups, namely for such adapted to a chain of amenable topological subgroups. The result is based on an application of Azuma's martingale inequality and provides a method for establishing extreme amenability. Building on this technique, we exhibit new examples of extremely amenable groups arising from von Neumann's continuous geometries. Along the way, we also answer a question by Pestov on dynamical concentration in direct products of amenable topological groups.
