论文标题
翻译表面模量空间上的震颤和肌肉动力学
Tremors and horocycle dynamics on the moduli space of translation surfaces
论文作者
论文摘要
我们在翻译表面的地层上引入了“震颤”变形。使用它，我们给出了翻译表面层中霍罗猫流轨道行为的新示例。在两个具有两个奇异点的属属中，我们发现轨道对措施的轨道很普遍，该措施严格包含在轨道和轨道中，发现对任何量度都不是一般的轨道。我们还描述了Hausdorff尺寸不是整数的Horocycle轨道关闭。
We introduce a "tremor" deformation on strata of translation surfaces. Using it, we give new examples of behaviors of horocycle flow orbits in strata of translation surfaces. In the genus two stratum with two singular points, we find orbits which are generic for a measure whose support is strictly contained in the orbit and find orbits which are not generic for any measure. We also describe a horocycle orbit-closure whose Hausdorff dimension is not an integer.
