## Hilion, Arnaud

Compute Distance To:
 Author ID: hilion.arnaud Published as: Hilion, Arnaud External Links: MGP
 Documents Indexed: 19 Publications since 2006 Co-Authors: 12 Co-Authors with 17 Joint Publications 236 Co-Co-Authors
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### Co-Authors

 2 single-authored 9 Coulbois, Thierry 7 Lustig, Martin 4 Bédaride, Nicolas 1 Algom-Kfir, Yael 1 Arnoux, Pierre 1 Berthé, Valérie 1 Coulon, Rémi 1 Horbez, Camille 1 Jolivet, Timo 1 Reynolds, Patrick 1 Siegel, Anne 1 Stark, Emily
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### Serials

 4 Journal of the London Mathematical Society. Second Series 2 Groups, Geometry, and Dynamics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 IMRN. International Mathematics Research Notices 1 Geometry & Topology 1 The Quarterly Journal of Mathematics 1 Algebraic & Geometric Topology
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### Fields

 16 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 9 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

16 Publications have been cited 165 times in 82 Documents Cited by Year
$$\mathbb{R}$$-trees and laminations for free groups. I: Algebraic laminations. Zbl 1197.20019
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2008
$$\mathbb{R}$$-trees and laminations for free groups. II: The dual lamination of an $$\mathbb{R}$$-tree. Zbl 1198.20023
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2008
The hyperbolicity of the sphere complex via surgery paths. Zbl 1379.57004
Hilion, Arnaud; Horbez, Camille
2017
$$\mathbb{R}$$-trees and laminations for free groups. III: Currents and dual $$\mathbb{R}$$-tree metrics. Zbl 1200.20018
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2008
Non-unique ergodicity, observers’ topology and the dual algebraic lamination for $$\mathbb{R}$$-trees. Zbl 1197.20020
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2007
Botany of irreducible automorphisms of free groups. Zbl 1259.20031
Coulbois, Thierry; Hilion, Arnaud
2012
Rips induction: index of the dual lamination of an $$\mathbb R$$-tree. Zbl 1336.20033
Coulbois, Thierry; Hilion, Arnaud
2014
Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020
Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne
2006
Indecomposable $$F_N$$-trees and minimal laminations. Zbl 1342.20028
Coulbois, Thierry; Hilion, Arnaud; Reynolds, Patrick
2015
$$\mathbb R$$-trees, dual laminations and compact systems of partial isometries. Zbl 1239.20030
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2009
Geometric realizations of two-dimensional substitutive tilings. Zbl 1418.37028
Bédaride, Nicolas; Hilion, Arnaud
2013
Graph towers, laminations and their invariant measures. Zbl 07226677
Bédaride, Nicolas; Hilion, Arnaud; Lustig, Martin
2020
Ergodic currents dual to a real tree. Zbl 1362.37085
Coulbois, Thierry; Hilion, Arnaud
2016
On the maximal subgroup of automorphisms of a free group $$F_N$$ which fix a point of the boundary $$\partial F_N$$. Zbl 1131.20018
Hilion, Arnaud
2007
Growth and order of automorphisms of free groups and free Burnside groups. Zbl 1439.20023
Coulon, Rémi; Hilion, Arnaud
2017
The visual boundary of hyperbolic free-by-cyclic groups. Zbl 07436551
Algom-Kfir, Yael; Hilion, Arnaud; Stark, Emily
2021
The visual boundary of hyperbolic free-by-cyclic groups. Zbl 07436551
Algom-Kfir, Yael; Hilion, Arnaud; Stark, Emily
2021
Graph towers, laminations and their invariant measures. Zbl 07226677
Bédaride, Nicolas; Hilion, Arnaud; Lustig, Martin
2020
The hyperbolicity of the sphere complex via surgery paths. Zbl 1379.57004
Hilion, Arnaud; Horbez, Camille
2017
Growth and order of automorphisms of free groups and free Burnside groups. Zbl 1439.20023
Coulon, Rémi; Hilion, Arnaud
2017
Ergodic currents dual to a real tree. Zbl 1362.37085
Coulbois, Thierry; Hilion, Arnaud
2016
Indecomposable $$F_N$$-trees and minimal laminations. Zbl 1342.20028
Coulbois, Thierry; Hilion, Arnaud; Reynolds, Patrick
2015
Rips induction: index of the dual lamination of an $$\mathbb R$$-tree. Zbl 1336.20033
Coulbois, Thierry; Hilion, Arnaud
2014
Geometric realizations of two-dimensional substitutive tilings. Zbl 1418.37028
Bédaride, Nicolas; Hilion, Arnaud
2013
Botany of irreducible automorphisms of free groups. Zbl 1259.20031
Coulbois, Thierry; Hilion, Arnaud
2012
$$\mathbb R$$-trees, dual laminations and compact systems of partial isometries. Zbl 1239.20030
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2009
$$\mathbb{R}$$-trees and laminations for free groups. I: Algebraic laminations. Zbl 1197.20019
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2008
$$\mathbb{R}$$-trees and laminations for free groups. II: The dual lamination of an $$\mathbb{R}$$-tree. Zbl 1198.20023
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2008
$$\mathbb{R}$$-trees and laminations for free groups. III: Currents and dual $$\mathbb{R}$$-tree metrics. Zbl 1200.20018
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2008
Non-unique ergodicity, observers’ topology and the dual algebraic lamination for $$\mathbb{R}$$-trees. Zbl 1197.20020
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2007
On the maximal subgroup of automorphisms of a free group $$F_N$$ which fix a point of the boundary $$\partial F_N$$. Zbl 1131.20018
Hilion, Arnaud
2007
Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020
Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne
2006
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### Cited by 91 Authors

 20 Kapovich, Ilya 9 Lustig, Martin 6 Hilion, Arnaud 5 Horbez, Camille 5 Pfaff, Catherine 4 Berthé, Valérie 4 Rafi, Kasra 4 Taylor, Samuel Joseph 3 Coulbois, Thierry 3 Francaviglia, Stefano 3 Guirardel, Vincent 3 Gupta, Radhika 3 Martino, Armando 3 Perrin, Dominique 3 Uyanik, Caglar 2 Algom-Kfir, Yael 2 Bédaride, Nicolas 2 Carette, Mathieu 2 Dahmani, François 2 Delecroix, Vincent 2 Dolce, Francesco 2 Hamenstädt, Ursula 2 Jullian, Yann 2 Leroy, Julien 2 Reutenauer, Christophe 2 Reynolds, Patrick 2 Rindone, Giuseppina 2 Stark, Emily 2 Vogtmann, Karen 1 Aramayona, Javier 1 Barat, Guy 1 Bell, Mark Christopher 1 Benjamin, Beeker 1 Bestvina, Mladen 1 Björklund, Michael 1 Bowditch, Brian H. 1 Cecchi Bernales, Paulina 1 Clay, Matt T. 1 Cordes, Matthew 1 Coulon, Rémi 1 De Felice, Clelia 1 de Pool, Rodrigo 1 Dowdall, Spencer 1 Duchesne, Bruno 1 Durand, Fabien 1 Ei, Hiromi 1 Feighn, Mark E. 1 Fernández, Alejandro Moreo 1 Gadgil, Siddhartha 1 Gardam, Giles 1 Gautero, François 1 Godelle, Eddy 1 Handel, Michael 1 Hartnick, Tobias 1 Hensel, Sebastian Wolfgang 1 Hull, Michael B. 1 Iezzi, Francesca 1 Jeon, Woojin 1 Jolivet, Timo 1 Knopf, Svenja 1 Lécureux, Jean 1 Leininger, Christopher J. 1 Li, Ruoyu 1 Liardet, Pierre 1 Loridant, Benoit 1 Luo, Jun 1 Maher, Joseph 1 Malyutin, Andrei Valer’evich 1 Mann, Brian P. 1 Mathéus, Frédéric 1 Mj, Mahan 1 Monod, Nicolas 1 Morzadec, Thomas 1 Mosher, Lee 1 Nagai, Yasushi 1 Nagnibeda, Tatiana V. 1 Ohshika, Ken’ichi 1 Osin, Denis V. 1 Pandit, Suhas 1 Petite, Samuel 1 Pettet, Alexandra 1 Pogorzelski, Felix 1 Priebe Frank, Natalie 1 Qing, Yulan 1 Schleimer, Saul 1 Surer, Paul 1 Syrigos, Dionysios 1 Thuswaldner, Jörg Maximilian 1 Wade, Richard D. 1 Webb, Richard C. H. 1 Wigglesworth, Derrick
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### Cited in 40 Serials

 8 Algebraic & Geometric Topology 7 Geometriae Dedicata 6 Journal of Topology and Analysis 4 Annales de l’Institut Fourier 4 Groups, Geometry, and Dynamics 3 Israel Journal of Mathematics 3 Mathematische Zeitschrift 3 Theoretical Computer Science 3 Geometry & Topology 3 Journal of Topology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Duke Mathematical Journal 2 Monatshefte für Mathematik 2 Ergodic Theory and Dynamical Systems 2 Geometric and Functional Analysis. GAFA 2 Conformal Geometry and Dynamics 1 Bulletin of the Australian Mathematical Society 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Discrete & Computational Geometry 1 International Journal of Algebra and Computation 1 Glasnik Matematički. Serija III 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Topology Proceedings 1 St. Petersburg Mathematical Journal 1 Journal of Group Theory 1 International Journal of Number Theory 1 Journal of Modern Dynamics 1 Journal of Homotopy and Related Structures 1 Journal of Fractal Geometry
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### Cited in 21 Fields

 67 Group theory and generalizations (20-XX) 42 Manifolds and cell complexes (57-XX) 34 Dynamical systems and ergodic theory (37-XX) 6 Combinatorics (05-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Probability theory and stochastic processes (60-XX) 4 Differential geometry (53-XX) 3 Topological groups, Lie groups (22-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX)