Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations
Geometric Topology
2016-02-23 v3 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.1409.1562,
title = {Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations},
author = {Jeffrey Brock and Babak Modami},
journal= {arXiv preprint arXiv:1409.1562},
year = {2016}
}
Comments
34 pages, 5 figures