嫁接射线的渐近行为

摘要：

本文研究了Teichmuller空间的Thurston边界上嫁接射线的收敛性。当嫁接是沿着一个加权系统的简单闭曲线或沿着一个最大的唯一遍历层，这种行为是相同的Teichmuller测地线和线的最小值。我们还表明，沿加权系统的简单闭曲线的射线嫁接是在有界距离Teichmuller测地线。

英文摘要：

In this paper we study the convergence behavior of grafting rays to the Thurston boundary of Teichmuller space. When the grafting is done along a weighted system of simple closed curves or along a maximal uniquely ergodic lamination this behavior is the same as for Teichmuller geodesics and lines of minima. We also show that the ray grafted along a weighted system of simple closed curves is at bounded distance from Teichmuller geodesic.

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