French version

I am "chargé de recherche" at the CNRS at the Laboratoire de Mathématiques d'Orsay, in the Topology and Dynamics team.

Here you can find a CV.

Université Paris Sud, Batiment 307

F-91405 Orsay Cedex, France

Office: 3P2

Tel: +33 1 69 15 57 76

E-mail: camille.horbez "at" math.u-psud.fr

- Proper proximality in non-positive curvature, with Jingyin Huang and Jean Lécureux, arXiv:2005.08756
- Cocycle superrigidity from higher rank lattices to Out(F_N), with Vincent Guirardel and Jean Lécureux, arXiv:2005.07477
- Big mapping class groups with hyperbolic actions: classification and applications, with Yulan Qing and Kasra Rafi, arXiv:2005.00428
- Boundary amenability and measure equivalence rigidity among two-dimensional Artin groups of hyperbolic type, with Jingyin Huang, arXiv:2004.09325
- Acylindrical hyperbolicity of automorphism groups of infinitely-ended groups, with Anthony Genevois, arXiv:2002.01388
- Rigidity of the Torelli subgroup in Out(F_N), with Sebastian Hensel and Richard D. Wade, arXiv:1910.10189
- Boundaries of relative factor graphs and subgroup classification for automorphisms of free products, with Vincent Guirardel, arXiv:1901.05046
- Boundary amenability of Out(F_N), with Mladen Bestvina and Vincent Guirardel, arXiv:1705.07017
- The Tits alternative for the automorphism group of a free product, arXiv:1408.0546

- On the topological dimension of the Gromov boundaries of some hyperbolic Out(F_N)-graphs, with Mladen Bestvina and Richard D. Wade, accepted in Pacific J. Math. arXiv:1610.02115

- Commensurations of subgroups of Out(F_N), with Richard D. Wade, Trans. Amer. Math. Soc. 373(4)(2020), 2699-2742 [paper, arXiv:1901.07433]
- A compactification of outer space which is an absolute retract, with Mladen Bestvina, Ann. Inst. Fourier 69(6)(2019), 2395-2437 [paper, arXiv version]
- Algebraic laminations for free products and arational trees, with Vincent Guirardel, Alg. Geom. Topol. 19(5)(2019), 2283-2400 [paper, arXiv version]
- Spectral theorems for random walks on mapping class groups and Out(F_N), with François Dahmani, Int. Math. Res. Not. 9 (2018), 2693-2744 [article, version arXiv]
- Central limit theorems for mapping class groups and Out(F_N), Geom. Topol. 22(1) (2018), 105-156 [paper, arXiv version]
- The boundary of the outer space of a free product, Israel J. Math. 221(1) (2017), 179-234 [paper, arXiv version]
- The hyperbolicity of the sphere complex via surgery paths, with Arnaud Hilion, J. Reine Angew. Math. 730 (2017), 135-161 [paper, arXiv version]
- The horoboundary of outer space, and growth under random automorphisms, Ann. Scient. Ec. Norm. Sup. (4) 49(5) (2016), 1075-1123 [paper, arXiv version]
- A short proof of Handel and Mosher's alternative for subgroups of Out(F_N), Groups Geom. Dyn. 10(2) (2016), 709-721 [paper, arXiv version]
- Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings, J. Topol. 9(2) (2016), 401-450 [paper, arXiv version]
- The Poisson boundary of Out(F_N), Duke Math. J. 165(2) (2016), 341-369 [paper, arXiv version]
- Spectral rigidity for primitive elements of F_N, J. Group Theory 19(1) (2016), 55-123. [paper, arXiv version]
- Automorphisms of graphs of cyclic splittings of F_N, with Richard D. Wade, Geom. Dedic. 178(1) (2015), 171-187. [paper, arXiv version]
- Sphere paths in outer space, Alg. Geom. Topol. 12(4) (2012), 2493-2517. [paper, arXiv version]

- Morphisms from higher rank lattices to Out(F_N), avec Vincent Guirardel, appendix to the article "Hyperbolic rigidity of higher rank lattices" by Thomas Haettel, accepted in Ann. Scient. Ec. Norm. Sup. [arXiv version]
- My thesis: Random walks on Out(F_N) and automorphism groups of free products

- Leçon du 10/01/2018 (Out(F_N) actions (Outer space, hyperbolic complexes))
- Leçon du 17/01/2018 (Classification of subgroups of Out(F_N))
- Leçon du 24/01/2018 (Rigidity phenomena in Out(F_N))
- Leçon du 31/01/2018 (Boundary at infinity of Out(F_N))

- Abstract commensurator of some normal subgroups of Out(F_N), talk given in Warwick during the conference "Graphs, surfaces and cube complexes" (12/07/2018).
- Automorphisms of hyperbolic groups and growth, talk given at the CIRM during the conference "Geometry of groups and 3-manifolds: state of the art and perspectives" (20/02/2018).
- Growth under automorphisms of hyperbolic groups, talk given at the Isaac Newton Institute (Cambridge) during the conference "Non-positive curvature in action" (01/09/2017).
- A multiplicative ergodic theorem for mapping class groups, talk given at the MSRI (Berkeley) during the conference "Geometry of mapping class groups and Out(Fn)" (22/08/2016).
- Topological dimension of the boundaries of some hyperbolic Out(F_N)-graphs, talk given at the MSRI (Berkeley) during the conference "Introductory workshop: Geometric group theory" (22/08/2016).
- Growth under random products of automorphisms of a free group, talk given at the CIRM during the conference "Impact of geometric group theory" (07/14/2015).
- Horoboundary of outer space and growth under random automorphisms, talk given at the University of Notre-Dame during the conference "Boundaries and Ergodic Geometry" (06/01/2015).
- The Tits alternative for the automorphism group of a free product, talk given at the University of Illinois at Urbana-Champaign (02/19/2015).