论文标题
准对称地图，剪切，lambda长度和翻转
Quasisymmetric maps, shears, lambda lengths and flips
论文作者
论文摘要
我们通过查看其对Farey三角剖分的作用来研究在双曲机边界上作用于双曲线平面边界的准对称图。我们的主要结果准确地确定了哪些准对称地图对应于剪切坐标的夹紧lambda长度，并分别就图像的（同时）翻转距离及其图像（同时）翻转距离。这些扩展并阐明了Penner和Sullivan的先前结果。
We study quasisymmetric maps, which act on the boundary of the hyperbolic plane, by looking at their action on the Farey triangulation. Our main results identify exactly which quasisymmetric maps correspond to pinched lambda lengths in terms of shearing coordinates and, separately, in terms of (simultaneous) flip distance of the Farey triangulation and its image by the map. These extend and clarify previous results of Penner and Sullivan.
