论文标题
Hölder固定措施的规律性
Hölder regularity of stationary measures
论文作者
论文摘要
我们考虑通过具有差异标准的有限矩的分布来定义的平滑随机动力系统，并证明在适当的非分类条件下，任何固定措施都必须是连续的。结果是对线性群体随机行走的固定度量的经典陈述进行了广泛的概括。
We consider smooth random dynamical systems defined by a distribution with a finite moment of the norm of the differential, and prove that under suitable non-degeneracy conditions any stationary measure must be Hölder continuous. The result is a vast generalization of the classical statement on Hölder continuity of stationary measures of random walks on linear groups.
