Nombre de documents

24


Article dans une revue14 documents

  • Thierry Coulbois, Arnaud Hilion. Ergodic currents dual to a real tree. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016, 36 (3), pp.745-766. <10.1017/etds.2014.78>. <hal-01481866>
  • Thierry Coulbois, Arnaud Hilion, Patrick Reynolds. Indecomposable $F_N$-trees and minimal laminations. Groups Geometry and Dynamics, European Mathematical Society, 2015, 9 (2), pp.567-597. <hal-01218334>
  • Thierry Coulbois, Arnaud Hilion. Rips induction: index of the dual lamination of an $\mathbb{R}$-tree. Groups Geometry and Dynamics, European Mathematical Society, 2014, 8, pp.97 - 134. <10.4171/GGD/218>. <hal-01481865>
  • Nicolas Bedaride, Arnaud Hilion. GEOMETRIC REALIZATIONS OF TWO-DIMENSIONAL SUBSTITUTIVE TILINGS. Quarterly Journal of Mathematics, Oxford University Press (OUP), 2013, <10.1093/qmath/has025>. <hal-01219087>
  • Thierry Coulbois, Arnaud Hilion. Botany of irreducible automorphisms of free groups. Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2012, 256 (2), pp.291-307. <10.2140/pjm.2012.256.291>. <hal-01066578>
  • Arnaud Hilion. Free group automorphisms with parabolic boundary orbitsFor N >4, we show that there exist automorphisms of the free group FN which havea parabolic orbit in @FN . In fact, we exhibit a technology for producing infinitelymany such examples.. Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2012, <10.2140/agt.2012.12.933>. <hal-01481864>
  • Thierry Coulbois, Arnaud Hilion, Martin Lustig. $\R$-trees, dual laminations, and compact systems of partial isometries. Mathematical Proceedings, Cambridge University Press (CUP), 2009, 147 (2), pp.345-368. <10.1017/S0305004109002436>. <hal-00198807v3>
  • Thierry Coulbois, Arnaud Hilion, Martin Lustig. $\R$-trees and laminations for free groups I: Algebraic laminations. Proceedings of the London Mathematical Society, London Mathematical Society, 2008, 78, pp.723-736. <hal-00094735v2>
  • Thierry Coulbois, Arnaud Hilion, Martin Lustig. $\R$-trees and laminations for free groups II: The dual lamination of an $\R$-tree. Proceedings of the London Mathematical Society, London Mathematical Society, 2008, 78, pp.737-754. <hal-00130239v2>
  • Thierry Coulbois, Arnaud Hilion, Martin Lustig. $\R$-trees and laminations for free groups III: Currents and dual $\R$-tree metrics. Proceedings of the London Mathematical Society, London Mathematical Society, 2008, 78, pp.755-766. <hal-00151896>
  • Thierry Coulbois, Arnaud Hilion, Martin Lustig. Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees. Illinois Journal of Mathematics, 2007, 51 (3), pp.897-911. <hal-00153347>
  • Arnaud Hilion. On the Maximal Subgroup of Automorphisms of a Free Group FN which Fix a Point of the Boundary  FN. International Mathematics Research Notices, Oxford University Press (OUP), 2007, <10.1093/imrn/rnm066>. <hal-01218379>
  • Pierre Arnoux, Valerie Berthe, Arnaud Hilion, Anne Siegel. Fractal representation of the attractive lamination of an automorphism of the free group. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2006, 56 (7), pp.2161-2212. <inria-00178799>
  • Arnaud Hilion. Lamination duale à un arbre réel. Séminaire de Théorie Spectrale et Géométrie, Grenoble : Université de Grenoble 1, Institut Fourier, 1983-, 2005, 24, pp.9-21. <10.5802/tsg.237>. <hal-01218377>

Pré-publication, Document de travail8 documents

  • Nicolas Bedaride, Arnaud Hilion, Timo Jolivet. Topological substitutions and Rauzy fractals . 2017. <hal-01481077>
  • Nicolas Bedaride, Arnaud Hilion, Timo Jolivet. Topological substitutions and Rauzy fractals. 27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905. 2016. <hal-01322691>
  • Nicolas Bedaride, Arnaud Hilion, Timo Jolivet. Topological substitution for the aperiodic Rauzy fractal tiling. 29 pages, 13 figures.To appear. Bulletin de la Soci\'et\'e Math\'ematiques de France. 2017. 2016. <hal-01481867>
  • Nicolas Bedaride, Arnaud Hilion, Martin Lustig. Invariant measures for train track towers. 2015. <hal-01218333>
  • Thierry Coulbois, Arnaud Hilion. Ergodic currents dual to a real tree. 14 pages, minor corrections from previous version. 2014. <hal-01066575>
  • Rémi Coulon, Arnaud Hilion. Growth and order of automorphisms of free groups and free Burnside groups. 36 pages, 4 figures. 2013. <hal-01066572>
  • Arnaud Hilion, Camille Horbez. The hyperbolicity of the sphere complex via surgery paths. 23 pages, 11 figures. 2012. <hal-00746622>
  • Thierry Coulbois, Arnaud Hilion. Rips Induction: Index of the dual lamination of an $\R$-tree. Appendix added. 2010. <hal-00453343v2>

Thèse1 document

  • Arnaud Hilion. Dynamique des automorphismes des groupes libres. Théorie des groupes [math.GR]. Université Toulouse III, 2004. Français. <tel-01218364>

HDR1 document

  • Arnaud Hilion. Arbres, laminations et groupes libres. Théorie des groupes [math.GR]. Université Paul Cézanne — Aix-Marseille III, 2011. <tel-01218369>