Martín's webpage

Hello, my name is Martín Gilabert Vio and this is my academic webpage.

Since September 2023 I am a PhD student in mathematics at Institut Camille Jordan in Lyon, France. My advisor is Nicolás Matte Bon.

I am interested in the intersection of group theory, dynamics and probability. I like thinking about Thompson groups, groups of homeomorphisms of 1-manifolds, random walks on infinite groups and more.

My professional email is gilabert at math dot univ-lyon1 dot fr. My office is bureau 131, bâtiment Braconnier, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne, France.

Preprints

• The Poisson boundary of Thompson's group T is not the circle (with Cosmas Kravaris and Eduardo Silva)
  2025 preprint. arxiv pdf
  Here's a poster Eduardo made about this paper, presented at YGGT XIII on April 2025.


• Probabilistic Tits alternative for circle diffeomorphisms
  2024 preprint. arxiv pdf


• Dynamical Tits alternative for groups of almost automorphisms of trees
  2024 preprint. arxiv pdf