Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations

摘要

We construct Weil-Petersson geodesic rays with minimal filling non-uniquely ergodic ending lamination which are recurrent to a compact subset of the moduli space of Riemann surfaces. This construction shows that an analogue of Masur's criterion for Teichmuller geodesics does not hold for Weil-Petersson geodesics.