We present a notion of almost periodicity which can be applied to random dynamical systems as well as almost periodic stochastic differential equations in Hilbert spaces (abstract stochastic partial differential equations). This concept allows for improvements of known results of almost periodicity in distribution, for general random processes and for solutions to stochastic differential equations.

中文翻译：

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非自治随机动力系统的近似周期性和周期性

我们提出了一个几乎周期性的概念，它可以应用于随机动力系统以及希尔伯特空间中的几乎周期性随机微分方程（抽象随机偏微分方程）。这个概念允许改进分布中几乎周期性的已知结果，用于一般随机过程和随机微分方程的解。