Ergodic Theory of the Earthquake Flow
نویسندگان
چکیده
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 Teichmüller horocycle flow on the bundle QMg of holomorphic quadratic differentials, and the earthquake flow. In fact, the basic ergodic properties of the Teichmüller horocycle flow are better understood [17]. In this paper, we show:
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