论文标题
模块化组的组合生长
Combinatorial Growth in the Modular Group
论文作者
论文摘要
我们考虑通过紧凑的子表面耗尽模块化轨道，并表明，在单词长度方面，在此类子表面上的相互测量学（SO命名为低言论倒数互倒物地理学）的增长率会融合到模块化orbifold上的互惠地理学的全套增长速度。我们得出了低谎言大地学及其生长速率收敛到整个封闭的大地测量学的增长率的类似结果。
We consider an exhaustion of the modular orbifold by compact subsurfaces and show that the growth rate, in terms of word length, of the reciprocal geodesics on such subsurfaces (so named low lying reciprocal geodesics) converge to the growth rate of the full set of reciprocal geodesics on the modular orbifold. We derive a similar result for the low lying geodesics and their growth rate convergence to the growth rate of the full set of closed geodesics.
