A. Hilion

activity

20062022

most cited

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

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-tree

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

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3 papers · 1 filter

math.GT2018

The visual boundary of hyperbolic free-by-cyclic groups

Yael Algom-Kfir, Arnaud Hilion, Emily Stark

Let $ϕ$ be an atoroidal outer automorphism of the free group $F_{n}$ . We study the Gromov boundary of the hyperbolic group $G_{ϕ} = F_{n} ⋊_{ϕ} Z$ . We explicitly describe a…

math.GT2012

The hyperbolicity of the sphere complex via surgery paths

Arnaud Hilion, Camille Horbez

Handel and Mosher have proved that the free splitting complex FS for the free group is Gromov hyperbolic. This is a deep and much sought-after result, since it establishes FS as a…

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…