Teichmueller geodesics with d-dimensional limit sets

Abstract

We construct an example of a Teichmüller geodesic ray whose limit set in Thurston boundary of Teichmüller space is an d-dimensional simplex.

Limit sets of Weil–Petersson geodesics with nonminimal ending laminations

“…A number of authors have studied the limiting behavior of Teichmüller geodesics in relation to the Thurston compactification of Teichmüller space, [Mas82, Ker80] [Len08, LM10], [LLR13,CMW14], [BLMR16a,LMR16]. This work has highlighted the delicate relationship between the vertical foliation of the quadratic differential defining the geodesic and the limit set in the Thurston boundary.…”