Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations
classification
🧮 math.GT
math.DS
keywords
endingergodicgeodesicgeodesicsnon-uniquelyraysrecurrentweil-petersson
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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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