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On Thurston's Stretch Lines in Teichmüller Space
Published 30 Apr 2018 in math.GT | (1804.11245v1)
Abstract: The Teichm\"uller space $\mathcal{T}(\Sigma)$ of a surface $\Sigma$ is equipped with Thurston's asymmetric metric. Stretch lines are oriented geodesics for this metric on $\mathcal{T}(\Sigma)$. We give the asymptotic behavior of the lengths of the measured geodesic laminations as one follows a stretch line in the positive direction.
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