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

@article{Brock2014RecurrentWG,
  title={Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations},
  author={Jeffrey F. Brock and Babak Modami},
  journal={arXiv: Geometric Topology},
  year={2014}
}
We construct Weil-Petersson (WP) 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 the Masur's criterion for Teichm\"uller geodesics does not hold for WP geodesics. 
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