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## Hilion, Arnaud

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 Author ID: hilion.arnaud Published as: Hilion, Arnaud External Links: MGP
 Documents Indexed: 18 Publications since 2006
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#### Co-Authors

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

 4 Journal of the London Mathematical Society. Second Series 2 Groups, Geometry, and Dynamics 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

 15 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 8 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 148 times in 75 Documents Cited by Year
$$\mathbb{R}$$-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. I: Algebraic laminations. Zbl 1197.20019
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
Botany of irreducible automorphisms of free groups. Zbl 1259.20031
Coulbois, Thierry; Hilion, Arnaud
2012
Non-unique ergodicity, observers’ topology and the dual algebraic lamination for $$\mathbb{R}$$-trees. Zbl 1197.20020
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2007
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
$$\mathbb R$$-trees, dual laminations and compact systems of partial isometries. Zbl 1239.20030
Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin
2009
Indecomposable $$F_N$$-trees and minimal laminations. Zbl 1342.20028
Coulbois, Thierry; Hilion, Arnaud; Reynolds, Patrick
2015
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
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
The hyperbolicity of the sphere complex via surgery paths. Zbl 1379.57004
Hilion, Arnaud; Horbez, Camille
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. 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. I: Algebraic laminations. Zbl 1197.20019
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
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 79 Authors

 19 Kapovich, Ilya 9 Lustig, Martin 5 Hilion, Arnaud 4 Berthé, Valérie 4 Horbez, Camille 4 Pfaff, Catherine 4 Rafi, Kasra 3 Coulbois, Thierry 3 Francaviglia, Stefano 3 Martino, Armando 3 Perrin, Dominique 3 Taylor, Samuel Joseph 3 Uyanik, Caglar 2 Bedaride, Nicolas 2 Bestvina, Mladen 2 Carette, Mathieu 2 Delecroix, Vincent 2 Dolce, Francesco 2 Feighn, Mark E. 2 Gupta, Radhika 2 Hamenstädt, Ursula 2 Jullian, Yann 2 Leroy, Julien 2 Reutenauer, Christophe 2 Reynolds, Patrick 2 Rindone, Giuseppina 2 Vogtmann, Karen 1 Algom-Kfir, Yael 1 Barat, Guy 1 Bell, Mark Christopher 1 Bowditch, Brian H. 1 Cecchi Bernales, Paulina 1 Clay, Matt T. 1 Clay, Matthew A. 1 Clay, Matthew P. 1 Coulon, Rémi 1 De Felice, Clelia 1 Dowdall, Spencer 1 Duchesne, Bruno 1 Durand, Fabien 1 Ei, Hiromi 1 Gadgil, Siddhartha 1 Gautero, François 1 Godelle, Eddy 1 Guirardel, Vincent 1 Handel, Michael 1 Hensel, Sebastian Wolfgang 1 Hull, Michael B. 1 Iezzi, Francesca 1 Jeon, Woojin 1 Jolivet, Timo 1 Knopf, Svenja 1 Leininger, Christopher J. 1 Liardet, Pierre 1 Loridant, Benoit 1 Luo, Jun 1 Malyutin, Andrei Valer’evich 1 Mann, Brian P. 1 Martin, Alexandre 1 Mathéus, Frédéric 1 Mj, Mahan 1 Monod, Nicolas 1 Morzadec, Thomas 1 Mosher, Lee 1 Nagai, Yasushi 1 Nagnibeda, Tatiana 1 Ohshika, Ken’ichi 1 Pandit, Suhas 1 Petite, Samuel 1 Pettet, Alexandra 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 36 Serials

 8 Algebraic & Geometric Topology 7 Geometriae Dedicata 5 Journal of Topology and Analysis 4 Annales de l’Institut Fourier 4 Groups, Geometry, and Dynamics 3 Theoretical Computer Science 3 Geometry & Topology 3 Journal of Topology 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Duke Mathematical Journal 2 Mathematische Zeitschrift 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 Advances in Mathematics 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 Pacific Journal of Mathematics 1 Proceedings 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 Experimental Mathematics 1 Topology Proceedings 1 St. Petersburg Mathematical Journal 1 Journal of Group Theory 1 International Journal of Number Theory 1 Journal of Homotopy and Related Structures 1 Journal of Fractal Geometry
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#### Cited in 20 Fields

 61 Group theory and generalizations (20-XX) 38 Manifolds and cell complexes (57-XX) 31 Dynamical systems and ergodic theory (37-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 4 Probability theory and stochastic processes (60-XX) 3 Measure and integration (28-XX) 3 Differential geometry (53-XX) 2 Number theory (11-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 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX)