# 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}
}
• Published 4 September 2014
• Mathematics
• arXiv: Geometric Topology
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.
10 Citations

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