有限余体积富克斯群的Morse编码
Morse coding for a Fuchsian group of a finite covolume
摘要：
本文考虑双曲平面$H$上测测地流关于富克斯群$Γ$的Dirichlet基本区$D$的Morse编码.主要定理指出，所有一般测地线的代码构成一个$k$步拓扑马尔可夫链，当且仅当基本区$D$是一个理想多边形（即它的所有顶点都在绝对值上）。
英文摘要：
We consider the Morse coding of the geodesic flow on the hyperbolic plane $H$ with respect to a Dirichlet fundamental domain $D$ of a Fuchsian group $Γ$. The main theorem states that the codes of all the generic geodesics constitute a $k$-step topological Markov chain, if and only if the fundamental domain $D$ is an ideal polygon (i.e. has all of its vertices on the absolute).
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。
