具有中性点曲线的斜积的统计性质
Statistical properties of a skew product with a curve of neutral points
摘要：
本文研究了一个带有中性点曲线的斜积。证明了存在唯一的绝对连续不变的概率测度，并且充分光滑的观测量的Birkhoff平均值收敛于正态律或稳定律，这取决于沿中性曲线的观测量的平均值.
英文摘要：
We study a skew product with a curve of neutral points. We show that there exists a unique absolutely continuous invariant probability measure, and that the Birkhoff averages of a sufficiently smooth observable converge to a normal law or a stable law, depending on the average of the observable along the neutral curve.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
