Construction du coeur compact d'un arbre r\'eel par substitution d'arbre

TL;DR

This paper introduces tree substitutions as a method to explicitly construct geometric representations of dynamical systems arising from specific automorphisms of free groups.

Contribution

It presents a novel approach using tree substitutions to model and analyze the dynamics of automorphisms of free groups.

Findings

Explicit geometric models for certain automorphisms of free groups.

Tree substitutions effectively represent complex dynamical behaviors.

Provides a new framework for understanding free group automorphisms.

Abstract

This article introduces tree substitutions as a tool to give explicit geometric representations of the dynamical systems generated by a particular set of automorphisms of the free group.