论文标题
非词性Bernoulli动作的相变
Phase transitions for nonsingular Bernoulli actions
论文作者
论文摘要
受ARXIV中引入的非源性高斯作用的相变结果的启发，我们证明了非介绍性Bernoulli作用的几个相变结果。对于由在树木上作用的群体引起的一般性伯努利行动，我们能够根据小组的庞加莱指数对其奇妙的理论属性进行非常精确的描述。
Inspired by the phase transition results for nonsingular Gaussian actions introduced in arXiv:1911.04272, we prove several phase transition results for nonsingular Bernoulli actions. For generalized Bernoulli actions arising from groups acting on trees, we are able to give a very precise description of their ergodic theoretical properties in terms of the Poincaré exponent of the group.
