论文标题
MATHBB {z}^{d} $行动的多项式ergodic平均值
Polynomial ergodic averages of measure-preserving systems acted by $\mathbb{Z}^{d}$
论文作者
论文摘要
在本文中，我们将由$ \ mathbb {z}^{d} $作用的一般度量推迟系统的多项式Ergodic平均值降低，以$ \ MATHBB {z}^{d} $具有零熵。作为一个应用程序，我们可以以$ \ Mathbb {z}^{d} $为$ k $系统的多项式Ergodic平均值构建点的收敛。
In this paper, we reduce pointwise convergence of polynomial ergodic averages of general measure-preserving system acted by $\mathbb{Z}^{d}$ to the case of measure-preserving system acted by $\mathbb{Z}^{d}$ with zero entropy. As an application, we can build pointwise convergence of polynomial ergodic averages for $K$-system acted by $\mathbb{Z}^{d}$.
