Geodesic
Indecomposable $F_N$-trees and minimal laminations
Thierry Coulbois1 ; Arnaud Hilion1 ; Patrick Reynolds2
1Aix-Marseille Université, Marseille, France
2Miami University, Oxford, USA
Groups, geometry, and dynamics, Tome 9 (2015) no. 2, pp. 567-597

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DOI

We extend the techniques of [8] 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 indecomposable if and only if its dual lamination is minimal up to diagonal leaves. Our main result generalizes [3, Proposition 1.8] as well as the main result of [22].
DOI : 10.4171/ggd/321
Classification : 20-XX, 37-XX
Mots-clés : Free group, real tree, lamination, outer-space, Rauzy–Veech, indecomposable

Thierry Coulbois  1   ; Arnaud Hilion  1   ; Patrick Reynolds  2

1 Aix-Marseille Université, Marseille, France
2 Miami University, Oxford, USA 
Thierry Coulbois; Arnaud Hilion; Patrick Reynolds. Indecomposable $F_N$-trees and minimal laminations. Groups, geometry, and dynamics, Tome 9 (2015) no. 2, pp. 567-597. doi: 10.4171/ggd/321
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     title = {Indecomposable $F_N$-trees and minimal laminations},
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     pages = {567--597},
     year = {2015},
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     number = {2},
     doi = {10.4171/ggd/321},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/321/}
}
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