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Creators/Authors contains: "Lenzhen, Anna"

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  1. ; ; ; (, Forum of Mathematics, Sigma)
    We study the geometry of the Thurston metric on the Teichmüller space of hyperbolic structures on a surface $$S$$ . Some of our results on the coarse geometry of this metric apply to arbitrary surfaces $$S$$ of finite type; however, we focus particular attention on the case where the surface is a once-punctured torus. In that case, our results provide a detailed picture of the infinitesimal, local, and global behavior of the geodesics of the Thurston metric, as well as an analogue of Royden’s theorem. 
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