平移曲面的Khinchin型条件和Teichmuller流的渐近律
Khinchin type condition for translation surfaces and asymptotic laws for the Teichmuller flow
摘要：
我们研究了平移曲面的一个丢番图性质，它是由鞍形连接定义的，并受到了Khinchin经典定理的启发。我们证明了与Khinchin的结果相同的二分法成立，然后我们推导出一个精确的估计，关于典型的Teichmuller测地线在平移曲面的模空间中向无穷远游荡的速度。最后证明了亏格为1的一些更强的结果。
英文摘要：
We study a diophantine property for translation surfaces, defined in term of saddle connections and inspired by the classical theorem of Khinchin. We prove that the same dichotomy holds as in Khinchin' result, then we deduce a sharp estimation on how fast the typical Teichmuller geodesic wanders towards infinity in the moduli space of translation surfaces. Finally we prove some stronger result in genus one.
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。
