V. [. Arnoux, A. Berthé, A. Hilion, and . Siegel, Repr??sentation fractale de la lamination attractive d???un automorphisme du groupe libre, Annales de l???institut Fourier, vol.56, issue.7
DOI : 10.5802/aif.2237

M. Bestvina, M. Feighn, and M. Handel, The Tits Alternative for out(F n ) I: Dynamics of Exponentially-Growing Automorphisms, The Annals of Mathematics, vol.151, issue.2
DOI : 10.2307/121043

S. [. Casson and . Bleiler, Automorphisms of surfaces after Nielsen and Thurston Student Texts 9, 1988.

[. Coulbois, A. Hilion, and M. Lustig, R-trees and laminations for free groups II: The lamination associated to an R-tree, 2006.

[. Coulbois, A. Hilion, and M. Lustig, R-trees and laminations for free groups III: Currents and dual R-tree metrics, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00151896

]. D. Coo87 and . Cooper, Automorphisms of free groups have finitely generated fixed point sets, J. Algebra, vol.111, pp.453-456, 1987.

]. Fog02 and . Fogg, Substitutions in Dynamics, Arithmetics and Combinatorics . In Introduction to Automata and Substitution Dynamical Systems, 2002.

A. [. Gaboriau, G. Jaeger, M. Levitt, and . Lustig, groups, Duke Mathematical Journal, vol.93, issue.3, pp.425-452, 1998.
DOI : 10.1215/S0012-7094-98-09314-0

URL : https://hal.archives-ouvertes.fr/hal-01299575

]. E. Gdlh90, P. Ghys, . De, and . Harpe, Sur les groupes hyperboliques d'après Mikhael Gromov, 1990.

]. I. Kap03 and . Kapovich, The frequency space of a free group. To appear in Internat, J. Algebra Comput

]. I. Kap04 and . Kapovich, Currents on free groups, Arxiv GR, 2004.

M. [. Levitt and . Lustig, IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH???SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE, Journal of the Institute of Mathematics of Jussieu, vol.2, issue.01, pp.59-72, 2003.
DOI : 10.1017/S1474748003000033

]. M. Lus92 and . Lustig, Automorphismen von freien Gruppen, 1992.

]. R. Mar95 and . Martin, Non-Uniquely Ergodic Foliations of Thin Type, Measured Currents and Automorphisms of Free Groups, 1995.

T. Coulbois, Arnaud Hilion and Martin Lustig Mathématiques (LATP) Université Paul Cézanne ? Aix-Marseille III av. escadrille Normandie-Niémen 13397

F. Thierry, Coulbois@univ-cezanne.fr Arnaud