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

Jeffrey Brock and Babak Modami

Geometry & Topology 19 (2015) 3565–3601
Bibliography
1 T Aougab, Uniform hyperbolicity of the graphs of curves, Geom. Topol. 17 (2013) 2855 MR3190300
2 J A Behrstock, Asymptotic geometry of the mapping class group and Teichmüller space, Geom. Topol. 10 (2006) 1523 MR2255505
3 F Bonahon, Geodesic laminations on surfaces, from: "Laminations and foliations in dynamics, geometry and topology" (editors M Lyubich, J W Milnor, Y N Minsky), Contemp. Math. 269, Amer. Math. Soc. (2001) 1 MR1810534
4 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundl. Math. Wissen. 319, Springer (1999) MR1744486
5 J F Brock, The Weil–Petersson metric and volumes of $3$–dimensional hyperbolic convex cores, J. Amer. Math. Soc. 16 (2003) 495 MR1969203
6 J Brock, H Masur, Coarse and synthetic Weil–Petersson geometry: Quasi-flats, geodesics and relative hyperbolicity, Geom. Topol. 12 (2008) 2453 MR2443970
7 J Brock, H Masur, Y Minsky, Asymptotics of Weil–Petersson geodesic, I: Ending laminations, recurrence, and flows, Geom. Funct. Anal. 19 (2010) 1229 MR2585573
8 J Brock, H Masur, Y Minsky, Asymptotics of Weil–Petersson geodesics, II: Bounded geometry and unbounded entropy, Geom. Funct. Anal. 21 (2011) 820 MR2827011
9 P Buser, Geometry and spectra of compact Riemann surfaces, Progress in Mathematics 106, Birkhäuser (1992) MR1183224
10 R D Canary, D B A Epstein, P L Green, Notes on notes of Thurston, from: "Fundamentals of hyperbolic geometry: Selected expositions" (editors R D Canary, D Epstein, A Marden), London Math. Soc. Lecture Note Ser. 328, Cambridge Univ. Press (2006) 1 MR2235710
11 G Daskalopoulos, R Wentworth, Classification of Weil–Petersson isometries, Amer. J. Math. 125 (2003) 941 MR1993745
12 B Farb, A Lubotzky, Y Minsky, Rank-$1$ phenomena for mapping class groups, Duke Math. J. 106 (2001) 581 MR1813237
13 A Fathi, F Laudenbach, V Poenaru, Travaux de Thurston sur les surfaces, Astérisque 66–67, Soc. Math. France (1979) 284 MR568308
14 D Gabai, Almost filling laminations and the connectivity of ending lamination space, Geom. Topol. 13 (2009) 1017 MR2470969
15 S Hensel, P Przytycki, R C H Webb, $1$–slim triangles and uniform hyperbolicity for arc graphs and curve graphs, J. Eur. Math. Soc. 17 (2015) 755 MR3336835
16 J Hubbard, H Masur, Quadratic differentials and foliations, Acta Math. 142 (1979) 221 MR523212
17 E Klarreich, The boundary at infinity of the curve complex, preprint (1999)
18 C Leininger, A Lenzhen, K Rafi, Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation, preprint (2015) arXiv:1312.2305
19 G Levitt, Foliations and laminations on hyperbolic surfaces, Topology 22 (1983) 119 MR683752
20 H Masur, Extension of the Weil–Petersson metric to the boundary of Teichmüller space, Duke Math. J. 43 (1976) 623 MR0417456
21 H Masur, Hausdorff dimension of the set of nonergodic foliations of a quadratic differential, Duke Math. J. 66 (1992) 387 MR1167101
22 H A Masur, Y N Minsky, Geometry of the complex of curves, I: Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
23 H A Masur, Y N Minsky, Geometry of the complex of curves, II: Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
24 B Modami, Prescribing the behavior of Weil–Petersson geodesics in the moduli space of Riemann surfaces, J. Topol. Anal. 7 (2015) 543 MR3400125
25 K Rafi, A characterization of short curves of a Teichmüller geodesic, Geom. Topol. 9 (2005) 179 MR2115672
26 K Rafi, Hyperbolicity in Teichmüller space, Geom. Topol. 18 (2014) 3025 MR3285228
27 K Rafi, S Schleimer, Covers and the curve complex, Geom. Topol. 13 (2009) 2141 MR2507116
28 C Series, The modular surface and continued fractions, J. London Math. Soc. 31 (1985) 69 MR810563
29 S A Wolpert, Geometry of the Weil–Petersson completion of Teichmüller space, Surv. Differ. Geom. 8, International Press (2003) 357 MR2039996
30 S A Wolpert, Families of Riemann surfaces and Weil–Petersson geometry, CBMS Regional Conference Series in Mathematics 113, Amer. Math. Soc. (2010) MR2641916