Volume 17, issue 3 (2013)

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
Random rigidity in the free group

Danny Calegari and Alden Walker

Geometry & Topology 17 (2013) 1707–1744
Bibliography
1 C Bavard, Longueur stable des commutateurs, Enseign. Math. 37 (1991) 109 MR1115747
2 M Björklund, T Hartnick, Biharmonic functions on groups and limit theorems for quasimorphisms along random walks, Geom. Topol. 15 (2011) 123 MR2764114
3 R Brooks, Some remarks on bounded cohomology, from: "Riemann surfaces and related topics : Proceedings of the 1978 Stony Brook Conference" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 53 MR624804
4 M Bucher-Karlsson, The simplicial volume of closed manifolds covered by 2 × 2, J. Topol. 1 (2008) 584 MR2417444
5 D Calegari, scl, 20, Mathematical Society of Japan (2009) MR2527432
6 D Calegari, Stable commutator length is rational in free groups, J. Amer. Math. Soc. 22 (2009) 941 MR2525776
7 D Calegari, K Fujiwara, Stable commutator length in word-hyperbolic groups, Groups Geom. Dyn. 4 (2010) 59 MR2566301
8 D Calegari, J Maher, Statistics and compression of scl, to appear in Ergodic Theory Dyn. Systems
9 D Calegari, A Walker, Isometric endomorphisms of free groups, New York J. Math. 17 (2011) 713 MR2851070
10 J W Cannon, The combinatorial structure of cocompact discrete hyperbolic groups, Geom. Dedicata 16 (1984) 123 MR758901
11 F Chung, Laplacians and the Cheeger inequality for directed graphs, Ann. Comb. 9 (2005) 1 MR2135772
12 M Coornaert, Mesures de Patterson–Sullivan sur le bord d’un espace hyperbolique au sens de Gromov, Pacific J. Math. 159 (1993) 241 MR1214072
13 M Coornaert, A Papadopoulos, Symbolic dynamics and hyperbolic groups, 1539, Springer (1993) MR1222644
14 M Culler, Using surfaces to solve equations in free groups, Topology 20 (1981) 133 MR605653
15 I H Dinwoodie, Expectations for nonreversible Markov chains, J. Math. Anal. Appl. 220 (1998) 585 MR1614916
16 D Freedman, Markov chains, Springer (1983) MR686269
17 M Gromov, Hyperbolic manifolds (according to Thurston and Jørgensen), from: "Bourbaki Seminar, Vol. 1979/80", Lecture Notes in Math. 842, Springer (1981) 40 MR636516
18 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
19 U Haagerup, H J Munkholm, Simplices of maximal volume in hyperbolic n–space, Acta Math. 147 (1981) 1 MR631085
20 J Kahn, V Markovic, Immersing almost geodesic surfaces in a closed hyperbolic three manifold, Ann. of Math. 175 (2012) 1127 MR2912704
21 D Knuth, Big Omicron and big Omega and big Theta, ACM SIGACT 8 (1976) 18
22 P Lezaud, Chernoff and Berry–Esséen inequalities for Markov processes, ESAIM Probab. Statist. 5 (2001) 183 MR1875670
23 R C Penner, Perturbative series and the moduli space of Riemann surfaces, J. Differential Geom. 27 (1988) 35 MR918455
24 M Pollicott, Exponential mixing for the geodesic flow on hyperbolic three-manifolds, J. Statist. Phys. 67 (1992) 667 MR1171148
25 A H Rhemtulla, A problem of bounded expressibility in free products, Proc. Cambridge Philos. Soc. 64 (1968) 573 MR0225889
26 R Sharp, Local limit theorems for free groups, Math. Ann. 321 (2001) 889 MR1872533
27 D W Stroock, Probability theory, an analytic view, Cambridge Univ. Press (1993) MR1267569
28 W P Thurston, The geometry and topology of 3–manifolds, lecture notes, Princeton University (1978–1981)