论文标题
关于双边厄尔贡平均值的收敛性
On the convergence of bilateral ergodic averages
论文作者
论文摘要
我们研究了双边阵尾平均值的几乎确定的融合，不一定是可集成的功能，并将其与前向和向后平均的功能相关联，因此可以补充Woś的结果和第二名的作者。在收敛的情况下，使用双重复发的Furstenberg的结果，我们证明双侧ergodic平均值的振荡在极限附近。
We study the almost sure convergence of bilateral ergodic averages for not necessarily integrable functions and relate it to the ones of the forward and backward averages, hence complementing results of Woś and the second named author. In the case of convergence, using results of Furstenberg on double recurrence, we prove oscillations of the bilateral ergodic averages around the limit.
