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

Jeffrey Brock; Babak Modami

doi:10.2140/gt.2015.19.3565

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arXiv · 1409.1562

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

Jeffrey Brock·Babak Modami

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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.

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Jeffrey Brock, Babak Modami. 2014-09-04. Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations. https://doi.org/10.2140/gt.2015.19.3565

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