Asymptotics of Weil-Petersson geodesics I : ending laminations , recurrence , and flows

@inproceedings{EFFREY2008AsymptoticsOW,
  title={Asymptotics of Weil-Petersson geodesics I : ending laminations , recurrence , and flows},
  author={EFFREY and Rock and OWARD and ASUR},
  year={2008}
}
  • EFFREY, Rock, +1 author ASUR
  • Published 2008
We define an ending lamination for a Weil-Petersson geodesic ray. Despite the lack of a natural visual boundary for the Weil-Petersson metric [Br2], these ending laminations provide an effective boundary theory that encodes much of its asymptotic CAT(0) geometry. In particular, we prove an ending lamination theorem (Theorem 1.1) for the full-measure set of rays that recur to the thick part, and we show that the association of an ending lamination embeds asymptote classes of recurrent rays into… CONTINUE READING