Arnaud Hilion

most citedA Pansiot-type subword complexity theorem for automorphisms of free groups

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.GR2025

PolExp growth for automorphisms of toral relatively hyperbolic groups

Rémi Coulon, Arnaud Hilion, Camille Horbez +1

Let $G$ be a toral relatively hyperbolic group, and let $φ \in Aut (G)$ . We prove that, under iteration of $φ$ , the conjugacy length $∣∣ φ^{n} (g) ∣∣$ of every element $g \in G$ gr…

math.GR2022★ 2 cited

A Pansiot-type subword complexity theorem for automorphisms of free groups

Arnaud Hilion, Gilbert Levitt

Inspired by Pansiot's work on substitutions, we prove a similar theorem for automorphisms of a free group F of finite rank: if a right-infinite word X represents an attracting fixe…