平移曲面模空间上的颤动与horocycle动力学
动力系统
2025-07-21 v2
摘要
我们在平移曲面的层上引入一种“颤动”形变。利用它，我们给出了平移曲面层中horocycle流轨道行为的新例子。在具有两个奇点的亏格二层中，我们发现了对于支撑严格包含于轨道内的测度是泛的轨道，以及不对任何测度泛的轨道。我们还描述了一个Hausdorff维数非整数的horocycle轨道闭包。
关键词
引用
@article{arxiv.2004.04027,
title = {Tremors and horocycle dynamics on the moduli space of translation surfaces},
author = {Jon Chaika and John Smillie and Barak Weiss},
journal= {arXiv preprint arXiv:2004.04027},
year = {2025}
}
备注
Final version, extensive changes taking into account two detailed referee report. The main results are unchanged, but significant improvements to the argumentation in many places, and several figures added. Thanks to the anonymous referees for the time invested and their many helpful comments