#### Volume 15, issue 3 (2011)

 Download this article For screen For printing
 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Other MSP Journals
Minimal pseudo-Anosov translation lengths on the complex of curves

### Vaibhav Gadre and Chia-Yen Tsai

Geometry & Topology 15 (2011) 1297–1312
##### Bibliography
 1 M Bestvina, M Handel, Train-tracks for surface homeomorphisms, Topology 34 (1995) 109 MR1308491 2 B H Bowditch, Tight geodesics in the curve complex, Invent. Math. 171 (2008) 281 MR2367021 3 B Farb, C J Leininger, D Margalit, The lower central series and pseudo-Anosov dilatations, Amer. J. Math. 130 (2008) 799 MR2418928 4 F R Gantmacher, The theory of matrices. Vols. 1, 2, Translated by K A Hirsch, Chelsea Publishing Co. (1959) MR0107649 5 H A Masur, Y N Minsky, Geometry of the complex of curves. I: Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338 6 Y N Minsky, Curve complexes, surfaces and $3$–manifolds, from: "International Congress of Mathematicians. Vol. II" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2006) 1001 MR2275633 7 R C Penner, A construction of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 310 (1988) 179 MR930079 8 R C Penner, Bounds on least dilatations, Proc. Amer. Math. Soc. 113 (1991) 443 MR1068128 9 R C Penner, J L Harer, Combinatorics of train tracks, Annals of Math. Studies 125, Princeton Univ. Press (1992) MR1144770 10 E Seneta, Nonnegative matrices and Markov chains, Springer Series in Statistics, Springer (1981) MR719544 11 C Y Tsai, The asymptotic behavior of least pseudo-Anosov dilatations, Geom. Topol. 13 (2009) 2253 MR2507119