Download this article
 Download this article For screen
For printing
Recent Issues

Volume 29
Issue 2, 549–862
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Pseudo-Anosovs are exponentially generic in mapping class groups

Inhyeok Choi

Geometry & Topology 28 (2024) 1923–1955
Bibliography
1 H Baik, I Choi, D M Kim, Linear growth of translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces, J. Inst. Math. Jussieu (2023)
2 A Boulanger, P Mathieu, Ç Sert, A Sisto, Large deviations for random walks on Gromov-hyperbolic spaces, Ann. Sci. École Norm. Sup. 56 (2023) 885 MR4650159
3 M Calvez, B Wiest, Acylindrical hyperbolicity and Artin–Tits groups of spherical type, Geom. Dedicata 191 (2017) 199 MR3719080
4 I Choi, Central limit theorem and geodesic tracking on hyperbolic spaces and Teichmüller spaces, Adv. Math. 431 (2023) 109236 MR4627690
5 M Cumplido, B Wiest, A positive proportion of elements of mapping class groups is pseudo-Anosov, Bull. Lond. Math. Soc. 50 (2018) 390 MR3829727
6 V Erlandsson, J Souto, J Tao, Genericity of pseudo-Anosov mapping classes, when seen as mapping classes, Enseign. Math. 66 (2020) 419 MR4254267
7 B Farb, Some problems on mapping class groups and moduli space, from: "Problems on mapping class groups and related topics" (editor B Farb), Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 11 MR2264130
8 I Gekhtman, S J Taylor, G Tiozzo, Counting loxodromics for hyperbolic actions, J. Topol. 11 (2018) 379 MR3789828
9 I Gekhtman, S J Taylor, G Tiozzo, Counting problems in graph products and relatively hyperbolic groups, Israel J. Math. 237 (2020) 311 MR4111874
10 I Gekhtman, S J Taylor, G Tiozzo, Central limit theorems for counting measures in coarse negative curvature, Compos. Math. 158 (2022) 1980 MR4504671
11 S Gouëzel, Exponential bounds for random walks on hyperbolic spaces without moment conditions, Tunis. J. Math. 4 (2022) 635 MR4533553
12 J Maher, Exponential decay in the mapping class group, J. Lond. Math. Soc. 86 (2012) 366 MR2980916
13 J Maher, G Tiozzo, Random walks on weakly hyperbolic groups, J. Reine Angew. Math. 742 (2018) 187 MR3849626
14 K Rafi, Hyperbolicity in Teichmüller space, Geom. Topol. 18 (2014) 3025 MR3285228
15 W y Yang, Genericity of contracting elements in groups, Math. Ann. 376 (2020) 823 MR4081104