@article{ASENS_2000_4_33_4_507_0,
author = {Levitt, Gilbert and Lustig, Martin},
title = {Most automorphisms of a hyperbolic group have very simple dynamics},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {507--517},
year = {2000},
publisher = {Elsevier},
volume = {Ser. 4, 33},
number = {4},
doi = {10.1016/s0012-9593(00)00120-8},
mrnumber = {2002d:20066},
zbl = {0997.20043},
language = {en},
url = {https://www.numdam.org/articles/10.1016/s0012-9593(00)00120-8/}
}
TY - JOUR AU - Levitt, Gilbert AU - Lustig, Martin TI - Most automorphisms of a hyperbolic group have very simple dynamics JO - Annales scientifiques de l'École Normale Supérieure PY - 2000 SP - 507 EP - 517 VL - 33 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/s0012-9593(00)00120-8/ DO - 10.1016/s0012-9593(00)00120-8 LA - en ID - ASENS_2000_4_33_4_507_0 ER -
%0 Journal Article %A Levitt, Gilbert %A Lustig, Martin %T Most automorphisms of a hyperbolic group have very simple dynamics %J Annales scientifiques de l'École Normale Supérieure %D 2000 %P 507-517 %V 33 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.1016/s0012-9593(00)00120-8/ %R 10.1016/s0012-9593(00)00120-8 %G en %F ASENS_2000_4_33_4_507_0
Levitt, Gilbert; Lustig, Martin. Most automorphisms of a hyperbolic group have very simple dynamics. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 4, pp. 507-517. doi: 10.1016/s0012-9593(00)00120-8
[1] , , A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85-101. | Zbl | MR
[2] , , Bounding the complexity of group actions on real trees, unpublished manuscript.
[3] , , , Solvable subgroups of Out(Fn) are virtually abelian, Preprint.
[4] , , On the dynamics and the fixed subgroup of a free group automorphism, Invent. Math. 196 (1989) 613-638. | Zbl | MR
[5] , , , Géométrie et Théorie des Groupes, Lecture Notes, Vol. 1441, Springer, 1990. | Zbl | MR
[6] , , Group actions on R-trees, Proc. London Math. Soc. 55 (1987) 571-604. | Zbl | MR
[7] , Geodäten auf Flachen und eine Zetafunktion für Automorphismen von freien Gruppen, Ph.D. Thesis, Bochum, 1997.
[8] , , Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two, Proc. Amer. Math. Soc. 124 (1996) 1583-1591. | Zbl | MR
[9] , , , , An index for counting fixed points of automorphisms of free groups, Duke Math. J. 93 (1998) 425-452. | Zbl | MR
[10] , , The rank of actions on R-trees, Ann. Sci. ENS 28 (1995) 549-570. | Zbl | MR | Numdam
[11] , (Eds.), Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics, Vol. 83, Birkhäuser, 1990. | Zbl | MR
[12] , Hyperbolic groups, in : Gersten S.M. (Ed.), Essays in Group Theory, MSRI Publ., Vol. 8, Springer, 1987, pp. 75-263. | Zbl | MR
[13] , , Free group automorphisms with many fixed points at infinity, Math. Z. (to appear).
[14] , , Periodic ends, growth rates, Hölder dynamics for automorphisms of free groups, Comment. Math. Helv. (to appear) (available from http://picard.ups-tlse.fr/~levitt/). | Zbl
[15] , , Dynamics of automorphisms of free groups and hyperbolic groups, Preprint (available from http://picard.ups-tlse.fr/~levitt/).
[16] , Automorphisms, train tracks and non-simplicial R-tree actions, Comm. in Alg. (to appear).
[17] , , Valuations, trees, and degenerations of hyperbolic structures, I, Ann. Math. 120 (1984) 401-476. | Zbl | MR
[18] , Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math. 50 (1927) 189-358 ; English transl. in : Collected Mathematical Papers, Birkhäuser, 1986. | JFM
[19] , The Gromov topology on R-trees, Topology Appl. 32 (1989) 197-221. | Zbl | MR
[20] , Sur les automorphismes extérieurs des groupes hyperboliques, Ann. Sci. ENS 30 (1997) 147-167. | Zbl | MR | Numdam
[21] , , Topological methods in group theory, in : Wall T. (Ed.), Homological Group Theory, LMS Lect. Notes, Vol. 36, Camb. Univ. Press, 1979, pp. 137-203. | Zbl | MR
[22] , Dendrology of groups : an introduction, in : Gersten S.M. (Ed.), Essays in Group Theory, MSRI Publ., Vol. 8, Springer, 1987, pp. 265-319. | Zbl | MR
[23] ET AL., Notes on word hyperbolic groups, in : Ghys E., Haefliger A., Verjovsky A. (Eds.), Group Theory from a Geometrical Viewpoint, World Scientific, 1991, pp. 3-63. | Zbl | MR
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