Utilisateur·rice

Arnaud • HILION
Maître de Conférences (MCF H) • Affiliation : Aix-Marseille Université (AMU)
Site : Château-Gombert (CMI) • Office : R 325 • Office Floor : 3 •

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User group(s) :

Research keywords :
    Laminations Free groups Real trees Arbres rels Outer space R-trees R-tree

User Thematic(s) :
  • Discrete mathematics
  • Measured dynamic systems
  • Geometric dynamic systems
  • Symbolic dynamic systems
  • Geometric group theory

Publications HAL

2020/01 Journal of the London Mathematical Society - Graph towers, laminations and their invariant measures

2019/04 - Tower power for $S$-adics

2018/01 - The visual boundary of hyperbolic free-by-cyclic groups

2018/01 Bulletin de la société mathématique de France - Topological substitution for the aperiodic Rauzy fractal tiling

2017/01 Geometry and Topology - Growth and order of automorphisms of free groups and free Burnside groups

2017/01 Journal für die reine und angewandte Mathematik - The hyperbolicity of the sphere complex via surgery paths

2016/01 Ergodic Theory and Dynamical Systems - Ergodic currents dual to a real tree

2015/10 - Invariant measures for train track towers

2015/01 Groups Geometry and Dynamics - Indecomposable $F_N$-trees and minimal laminations

2014/01 Groups Geometry and Dynamics - Rips Induction: Index of the dual lamination of an $\R$-tree

2013/01 Quarterly Journal of Mathematics - GEOMETRIC REALIZATIONS OF TWO-DIMENSIONAL SUBSTITUTIVE TILINGS

2012/01 Pacific Journal of Mathematics - Botany of irreducible automorphisms of free groups

2012/01 Algebraic and Geometric Topology - Free group automorphisms with parabolic boundary orbits

2011/12 - Arbres, laminations et groupes libres

2009/01 Mathematical Proceedings - $\R$-trees, dual laminations, and compact systems of partial isometries

2008/01 Proceedings of the London Mathematical Society - $\R$-trees and laminations for free groups I: Algebraic laminations

2008/01 Proceedings of the London Mathematical Society - $\R$-trees and laminations for free groups II: The dual lamination of an $\R$-tree

2008/01 Proceedings of the London Mathematical Society - $\R$-trees and laminations for free groups III: Currents and dual $\R$-tree metrics

2007/01 Illinois Journal of Mathematics - Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees

2007/01 International Mathematics Research Notices - On the Maximal Subgroup of Automorphisms of a Free Group FN which Fix a Point of the Boundary FN

2006/01 Annales de l'Institut Fourier - Fractal representation of the attractive lamination of an automorphism of the free group

2005/01 Séminaire de Théorie Spectrale et Géométrie - Lamination duale à un arbre réel

2004/12 - Dynamique des automorphismes des groupes libres


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