Volume 26, issue 1 (2022)

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

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

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 (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Random trees in the boundary of outer space

Ilya Kapovich, Joseph Maher, Catherine Pfaff and Samuel J Taylor

Geometry & Topology 26 (2022) 127–162
DOI: 10.2140/gt.2022.26.127
Bibliography
1 Y Algom-Kfir, Strongly contracting geodesics in outer space, Geom. Topol. 15 (2011) 2181 MR2862155
2 Y Algom-Kfir, I Kapovich, C Pfaff, Stable strata of geodesics in outer space, Int. Math. Res. Not. 2019 (2019) 4549 MR3984078
3 M. Bestvina, M. Feighn, Outer limits, preprint (1994)
4 M Bestvina, M Feighn, Hyperbolicity of the complex of free factors, Adv. Math. 256 (2014) 104 MR3177291
5 M Bestvina, M Feighn, M Handel, Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (1997) 215 MR1445386
6 M Bestvina, C Horbez, R D Wade, On the topological dimension of the Gromov boundaries of some hyperbolic Out(FN)–graphs, Pacific J. Math. 308 (2020) 1 MR4190451
7 M Bestvina, P Reynolds, The boundary of the complex of free factors, Duke Math. J. 164 (2015) 2213 MR3385133
8 M M Cohen, M Lustig, Very small group actions on –trees and Dehn twist automorphisms, Topology 34 (1995) 575 MR1341810
9 T Coulbois, A Hilion, Botany of irreducible automorphisms of free groups, Pacific J. Math. 256 (2012) 291 MR2944977
10 T Coulbois, A Hilion, M Lustig, –trees and laminations for free groups, I : Algebraic laminations, J. Lond. Math. Soc. 78 (2008) 723 MR2456901
11 T Coulbois, A Hilion, M Lustig, –trees and laminations for free groups, II : The dual lamination of an –tree, J. Lond. Math. Soc. 78 (2008) 737 MR2456902
12 M Culler, K Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91 MR830040
13 F Dahmani, C Horbez, Spectral theorems for random walks on mapping class groups and out (FN), Int. Math. Res. Not. 2018 (2018) 2693 MR3801494
14 S Dowdall, S J Taylor, The co-surface graph and the geometry of hyperbolic free group extensions, J. Topol. 10 (2017) 447 MR3653318
15 S Dowdall, S J Taylor, Hyperbolic extensions of free groups, Geom. Topol. 22 (2018) 517 MR3720349
16 S Francaviglia, A Martino, Metric properties of outer space, Publ. Mat. 55 (2011) 433 MR2839451
17 D Gaboriau, G Levitt, The rank of actions on –trees, Ann. Sci. École Norm. Sup. 28 (1995) 549 MR1341661
18 V Gadre, J Maher, Recurrence of quadratic differentials for harmonic measure, Math. Proc. Cambridge Philos. Soc. 169 (2020) 299 MR4138923
19 U Hamenstaedt, The boundary of the free splitting graph and the free factor graph, preprint (2012) arXiv:1211.1630
20 M Handel, L Mosher, Axes in outer space, 1004, Amer. Math. Soc. (2011) MR2858636
21 C Horbez, The Poisson boundary of Out(FN), Duke Math. J. 165 (2016) 341 MR3457676
22 C Horbez, Central limit theorems for mapping class groups and Out(FN), Geom. Topol. 22 (2018) 105 MR3720342
23 I Kapovich, J Maher, C Pfaff, S J Taylor, Random outer automorphisms of free groups: attracting trees and their singularity structures, Trans. Amer. Math. Soc. 375 (2022) 525 MR4358675
24 J Maher, G Tiozzo, Random walks on weakly hyperbolic groups, J. Reine Angew. Math. 742 (2018) 187 MR3849626
25 L Mosher, C Pfaff, Lone axes in outer space, Algebr. Geom. Topol. 16 (2016) 3385 MR3584262
26 H Namazi, A Pettet, P Reynolds, Ergodic decompositions for folding and unfolding paths in outer space, preprint (2014) arXiv:1410.8870
27 F Paulin, The Gromov topology on –trees, Topology Appl. 32 (1989) 197 MR1007101
28 P Reynolds, Reducing systems for very small trees, preprint (2012) arXiv:1211.3378
29 S J Taylor, G Tiozzo, Random extensions of free groups and surface groups are hyperbolic, Int. Math. Res. Not. 2016 (2016) 294 MR3514064