We prove local limit theorems for a cocycle over a semiflow by establishing topological, mixing properties of the associated skew product semiflow. We also establish conditional rational weak mixing of certain skew product semiflows and various mixing properties including order 2 rational weak mixing of hyperbolic geodesic flows on the tangent spaces of cyclic covers.

中文翻译：

---

悬浮半流的局部极限定理

通过建立相关偏斜积半流的拓扑，混合特性，我们证明了半流上的代步车的局部极限定理。我们还建立了某些偏积半流的条件理性弱混合以及各种混合属性，包括在循环覆盖的切线空间上的双曲测地流的2阶弱混合。