Ergodic Theory of the Earthquake Flow
Ergodic Theory of the Earthquake Flow
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DOI：
10.1093/imrn/rnm116
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发表时间：
2010-07
影响因子：
1
通讯作者：
M. Mirzakhani
中科院分区：
文献类型：
--
作者：
M. Mirzakhani
本文研究了瑟斯顿定义的地震流在测地薄片束PMg上的动力学。这种流动是沿着简单封闭测地线的扭曲的自然推广。讨论了全纯二次微分束QMg上的Teichmuller环流与地震流的关系。事实上，Teichmuller旋回流的基本遍历性质已经被更好地理解了。在本文中，我们证明：
In this paper we investigate the dynamics of the earthquake flow defined by Thurston on the bundle PMg of geodesic measured laminations. This flow is a natural generalization of twisting along simple closed geodesics. We discuss the relationship between the Teichmuller horocycle flow on the bundle QMg of holomorphic quadratic differentials, and the earthquake flow. In fact, the basic ergodic properties of the Teichmuller horocycle flow are better understood [17]. In this paper, we show: