A. Hilion

activity

20062022

most cited

R

-trees and laminations for free groups II: The dual lamination of an

R

-tree

64 citations · 197 across the 18 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.GR2011★ 2 cited

Indecomposable $F_{N}$ -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…

math.GR2011

Free group automorphisms with parabolic boundary orbits

Arnaud Hilion

For $N \geq 4$ , we show that there exist automorphisms of the free group $F_{N}$ which have a parabolic orbit in $\partial F_{N}$ . In fact, we exhibit a technology for producing infinit…

math.GT2011

Geometric realizations of two dimensional substitutive tilings

Nicolas Bedaride, Arnaud Hilion

We define 2-dimensional topological substitutions. A tiling of the Euclidean plane, or of the hyperbolic plane, is substitutive if the underlying 2-complex can be obtained by itera…

Indecomposable FN​-trees and minimal laminations

Free group automorphisms with parabolic boundary orbits

Geometric realizations of two dimensional substitutive tilings

Indecomposable $F_{N}$ -trees and minimal laminations