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

Volume 25
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Hyperbolic groups with logarithmic separation profile

Nir Lazarovich and Corentin Le Coz

Algebraic & Geometric Topology 25 (2025) 39–54
Bibliography
1 I Benjamini, O Schramm, Á Timár, On the separation profile of infinite graphs, Groups Geom. Dyn. 6 (2012) 639 MR2996405
2 M Bestvina, G Mess, The boundary of negatively curved groups, J. Amer. Math. Soc. 4 (1991) 469 MR1096169
3 B H Bowditch, Cut points and canonical splittings of hyperbolic groups, Acta Math. 180 (1998) 145 MR1638764
4 B H Bowditch, Connectedness properties of limit sets, Trans. Amer. Math. Soc. 351 (1999) 3673 MR1624089
5 M Carrasco, J M Mackay, Conformal dimension of hyperbolic groups that split over elementary subgroups, Invent. Math. 227 (2022) 795 MR4372224
6 M Coornaert, Mesures de Patterson–Sullivan sur le bord d’un espace hyperbolique au sens de Gromov, Pacific J. Math. 159 (1993) 241 MR1214072
7 S Gouëzel, F Mathéus, F Maucourant, Entropy and drift in word hyperbolic groups, Invent. Math. 211 (2018) 1201 MR3763407
8 M Gromov, Geometric group theory, II: Asymptotic invariants of infinite groups, 182, Cambridge Univ. Press (1993) MR1253544
9 D Hume, J M Mackay, Poorly connected groups, Proc. Amer. Math. Soc. 148 (2020) 4653 MR4143384
10 D Hume, J M Mackay, R Tessera, Poincaré profiles of groups and spaces, Rev. Mat. Iberoam. 36 (2020) 1835 MR4163985
11 C Le Coz, Separation and Poincaré profiles, PhD thesis, Université Paris-Saclay (2020)
12 R J Lipton, R E Tarjan, A separator theorem for planar graphs, SIAM J. Appl. Math. 36 (1979) 177 MR524495
13 L Louder, N Touikan, Strong accessibility for finitely presented groups, Geom. Topol. 21 (2017) 1805 MR3650082
14 G A Swarup, On the cut point conjecture, Electron. Res. Announc. Amer. Math. Soc. 2 (1996) 98 MR1412948