The geometry of measured geodesic laminations and measured train tracks

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Abstract

Thurston and Kerckhoff have shown that the space of measured geodesic laminations on a hyperbolic Riemann surface serves as a non-linear model of the tangent space to Teichmüller space at the surface. In this paper we show that the natural map between these manifolds has stronger than Hölder continuous regularity.

Original languageEnglish (US)
Pages (from-to)587-604
Number of pages18
JournalErgodic Theory and Dynamical Systems
Volume9
Issue number3
DOIs
StatePublished - Sep 1989

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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