## Geometry & Topology

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

#### Abstract

We construct Weil–Petersson 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 Masur’s criterion for Teichmüller geodesics does not hold for Weil–Petersson geodesics.

#### Article information

Source
Geom. Topol., Volume 19, Number 6 (2015), 3565-3601.

Dates
Received: 21 September 2014
Accepted: 6 April 2015
First available in Project Euclid: 16 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.gt/1510858881

Digital Object Identifier
doi:10.2140/gt.2015.19.3565

Mathematical Reviews number (MathSciNet)
MR3447110

Zentralblatt MATH identifier
1332.30067

#### Citation

Brock, Jeffrey; Modami, Babak. Recurrent Weil–Petersson geodesic rays with non-uniquely ergodic ending laminations. Geom. Topol. 19 (2015), no. 6, 3565--3601. doi:10.2140/gt.2015.19.3565. https://projecteuclid.org/euclid.gt/1510858881

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