Nicolás MATTE BON

Chargé de recherche CNRS
Institut Camille Jordan (ICJ)
Université Claude Bernard Lyon 1
Equipe Algèbre, Géométrie, Logique (AGL)

E-mail: mxttxbxn(at)math(dot)univ-lyon1(dot)fr (replace x)

About me

My research focuses on various aspects of infinite groups with an emphasis on interactions with dynamics. Here is a short CV:

• Sep 2013-Aug 2016: Ph.D. at ENS Paris and Université Paris Sud-Orsay, under the direction of Anna Erschler.
• Sep 2016 - Aug 2019: Postdoc at ETH Zürich, under the mentorship of Marc Burger
• Sep 2019- Jan 2020: Postdoc at EPF Lausannne, in the chair of Nicolas Monod
• Feb 2020-present: CNRS researcher affiliated to the Institut Camille Jordan , Université Claude Bernard Lyon 1.
  

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• I defended my habilitation (HDR) thesis on 11/01/2024 at Université Claude Bernard Lyon 1. The memoir is available here, and contains a survey of of some of my work in the period 2016-2023.
  (Warning : Chapter 2 became in part obsolete after a major revision of the paper "Locally moving groups.. " with J. Brum, C. Rivas and M. Triestino --in particular it contains older versions of the results there, and it uses the terminology "R-focal action", that we abandoned.)
• I am one of the organisers of the Geometry Seminar at ICJ.
• I am the advisor of Martín Gilabert Vio
  

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  Publications and preprints

  • Subexponential growth and C1 actions on one-manifolds (with S.-h. Kim , M. de la Salle and M. Triestino )
    submitted (2024). (arXiv version )
  • On the growth of actions of free products (with A. Le Boudec and V. Salo )
    Groups Geom. Dyn., to appear (2024). (arXiv version )
  • A realisation result for moduli spaces of group actions on the line (with J. Brum , C. Rivas and M. Triestino )
    J. Topol. 17 (2024), no. 4, Paper No. e12357, 35 pp. ( journal version | arXiv version )
  • Liouville property for groups and conformal dimension (with V. Nekrashevych and T. Zheng )
    submitted (2023) (arXiv version )
  • Solvable groups and affine actions on the line (with J. Brum , C. Rivas and M. Triestino )
    J. Éc. polytech. Math. 12 (2025), 23–69. ( open access journal version)
  • Some torsion-free solvable groups with few subquotients (with A. Le Boudec )
    Math. Proc. Cambridge Philos. Soc. 176 (2024), no. 2, 279–286. journal pdf | arXiv pdf
  • Growth of actions of solvable groups (with A. Le Boudec )
    submitted (2022) (arXiv version )
  • A quantitative Neumann lemma for finitely generated groups (with E. Gorokhovsky and O. Tamuz )
    Israel J. Math. 262 (2024), no. 1, 487-500. ( journal version | arXiv version )
  • Locally moving groups and laminar actions on the line (with J. Brum , C. Rivas and M. Triestino )
    Astérisque (to appear), 205pp (v1 2021, final version in 2024 with new title, improved results and susbtantial changes). arXiv version
  • Piecewise strongly proximal actions, free boundaries and the Neretin groups (with Pierre-Emmanuel Caprace and A. Le Boudec )
    Bull. Soc. Math. France 150 (2022), no. 4, 773–795. ( journal version | arXiv version )
  • Confined subgroups and high transitivity (with A. Le Boudec )
    Ann. H. Lebesgue 5 (2022), 491–522. ( journal version | arXiv version )
  • A commutator lemma for confined subgroups and applications to groups acting on rooted trees (with A. Le Boudec )
    Trans. Amer. Math. Soc. 376 (2023), no. 10, 7187–7233. ( journal version | arXiv version )
  • Triple transitivity and non-free actions in dimension one (with A. Le Boudec )
    J. Lond. Math. Soc. (2) 105 (2022), no. 2, 884–908. ( journal version | arXiv version)
  • Groups of piecewise linear homeomorphisms of flows (with M. Triestino )
    Compositio Mathematica, 156, no. 8 (2020) 1595–1622. ( free journal version | arXiv version)
  • Property FW, differentiable structures, and smoothability of singular actions (with Y. Lodha and M. Triestino )
    Journal of Topology 13, no. 3 (2020) journal pdf | arXiv pdf
  • Rigidity properties of full groups of pseudogroups over the Cantor set
    (A previous version was entitled: Rigidity of graphs of germs and homomorphisms between full groups)
    Preprint (2018) arXiv pdf
  • Locally compact groups whose ergodic or minimal actions are all free (with A. Le Boudec )
    International Mathematics Research Notices, Vol. 2020, Issue 11, June 2020, 3318–3340 journal pdf | arXiv pdf
  • Realizing uniformly recurrent subgroups (with T. Tsankov )
    Ergodic Theory and Dynamical Systems, Vol. 40, Issue 2, February 2020 , pp. 478-489 journal pdf | arXiv pdf
  • A remark on groups defined by slowly growing trees (appendix to Groups with minimal harmonic functions as small as you like by G. Amir and G. Kozma)
    Groups Geom. Dyn. 18(2024), no.1, 1–24. (arXiv version).
  • Subgroup dynamics and C^*-simplicity of groups of homeomorphisms (with A. Le Boudec )
    Annales Scientifiques de l'École Normale Supérieure 51 (2018), no. 3, 557-602 journal pdf | arXiv pdf
  • Full groups of bounded automaton groups
    Journal of Fractal Geometry 4 (2017), no. 4, 425–458 journal pdf | arXiv pdf | MathSciNet
  • Extensive amenability and an application to interval exchanges (with K. Juschenko , N. Monod , M. de la Salle )
    Ergodic Theory and Dynamical Systems 38 (2018), no. 1, 195–219 journal pdf | arXiv pdf | MathSciNet | video
  • Topological full groups of minimal subshifts with subgroups of intermediate growth
    Journal of Modern Dynamics 9 (2015), 67–80 journal pdf | arXiv pdf | MathSciNet
  • Subshifts with slow complexity and simple groups with the Liouville property
    Geometric and Functional Analysis 24 (2014), no. 5, 1637–1659 journal pdf | arXiv pdf | MathSciNet
  • The Liouville property for groups acting on rooted trees (with G. Amir , O. Angel , B. Virág )
    Annales de l'Institut Henri Poincaré Probab. Statist. 52, no 4 (2016), 1763-1783. journal pdf | arXiv pdf | MathSciNet
  
  

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