64 citations · 186 across the 14 of their papers we have counts for
12 papers · 1 filter
Index realization for automorphisms of free groups
Thierry Coulbois, Martin Lustig
For any surface of genus and (essentially) any collection of positive integers with Masur and Smillie have sho…
Long turns, INP's and index for free group automorphisms
Thierry Coulbois, Martin Lustig
The goal of this paper is to introduce a new tool, called {\em long turns}, which is a useful addition to the train track technology for automorphisms of free groups, in that it al…
Ergodic currents dual to a real tree
Thierry Coulbois, Arnaud Hilion
Let be an -tree in the boundary of Outer space with dense orbits. When the free group $\FN$ acts freely on , we prove that the number of projective classes of ergodic cu…
Botany of irreducible automorphisms of free groups
Thierry Coulbois, Arnaud Hilion
We give a classification of iwip outer automorphisms of the free group, by discussing the properties of their attracting and repelling trees.
Indecomposable -trees and minimal laminations
Thierry Coulbois, Arnaud Hilion, Patrick Reynolds
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 he…
Rips Induction: Index of the dual lamination of an -tree
Thierry Coulbois, Arnaud Hilion
Let be a -tree in the boundary of the Outer Space CV, with dense orbits. The -index of is defined by means of the dual lamination of . It is a generalisation…
Fractal trees for irreducible automorphisms of free groups
Thierry Coulbois
The self-similar structure of the attracting subshift of a primitive substitution is carried over to the limit set of the repelling tree in the boundary of Outer Space of the corre…
-trees, dual laminations, and compact systems of partial isometries
Thierry Coulbois, Arnaud Hilion, Martin Lustig
Let $\FN$ be a free group of finite rank , and let be an -tree with a very small, minimal action of $\FN$ with dense orbits. For any basis $\CA$ of $\FN$ there ex…
Non-unique ergodicity, observers' topology and the dual algebraic lamination for -trees
Thierry Coulbois, Arnaud Hilion, Martin Lustig
We continue in this article the study of laminations dual to very small actions of a free group F on R-trees. We prove that this lamination determines completely the combinatorial…
-trees and laminations for free groups III: Currents and dual -tree metrics
Thierry Coulbois, Arnaud Hilion, Martin Lustig
This is the third of a series of three articles where we introduce laminations for the free-groups. We explore here the link between currents and laminations and prove that the sit…
-trees and laminations for free groups II: The dual lamination of an -tree
Thierry Coulbois, Arnaud Hilion, Martin Lustig
This is the second part of a series of three articles which introduce laminations for free groups (see math.GR/0609416 for the first part). Several definition of the dual laminatio…
-trees and laminations for free groups I: Algebraic laminations
Thierry Coulbois, Arnaud Hilion, Martin Lustig
This paper is the first of a sequence of three papers, where the concept of an -tree dual to a measured geodesic lamination in a hyperbolic surface is generalized to arb…