%0 Journal Article
%T Indecomposable $F_N$-trees and minimal laminations
%+ Institut de Mathématiques de Marseille (I2M)
%+ Miami University [Ohio] (MU)
%A Coulbois, Thierry
%A Hilion, Arnaud
%A Reynolds, Patrick
%< avec comité de lecture
%@ 1661-7207
%J Groups, Geometry, and Dynamics
%I European Mathematical Society
%V 9
%N 2
%P 567–597
%8 2015
%D 2015
%Z 1110.3506
%Z Mathematics [math]/Group Theory [math.GR]
%Z Mathematics [math]/Dynamical Systems [math.DS]Journal articles
%X We extend the techniques of [CH] to build an inductive procedure for studying actions in the boundary of the Culler-Vogtmann Outer Space, the main novelty being an adaptation of the classical Rauzy-Veech induction for studying actions of surface type. As an application, we prove that a tree in the boundary of Outer space is free and indecomposableif and only if its dual lamination is minimal up to diagonal leaves. Our main result generalizes [BFH97, Proposition 1.8] as well as the main result of [KL11].
%G English
%2 https://hal.science/hal-01218334/document
%2 https://hal.science/hal-01218334/file/1110.3506v1.pdf
%L hal-01218334
%U https://hal.science/hal-01218334
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ INSMI
%~ I2M
%~ I2M-2014-
%~ TDS-MACS