Mart'in Gilabert Vio

activity

20242026

collaborators

3 papers

math.GR2026

Stationary boundaries on the space of amenable subgroups and C*-simplicity

Anna Cascioli, Martín Gilabert Vio, Eduardo Silva

We give a sufficient condition for a countable group $G$ to possess a probability measure $μ$ that admits a non-trivial $μ$ -boundary modeled in the space $\mathrm{Sub}_{\mathrm{am}…

math.DS2025

The Poisson boundary of Thompson's group $T$ is not the circle

Martín Gilabert Vio, Cosmas Kravaris, Eduardo Silva

Let $μ$ be a nondegenerate probability measure with finite entropy on a countable group $G \leq Homeo_{+} (S^{1})$ of orientation-preserving homeomorphisms of the circle acting…

math.GR2024

Probabilistic Tits alternative for circle diffeomorphisms

Martín Gilabert Vio

Let $μ_{1}, μ_{2}$ be probability measures on $Diff_{+}^{1} (S^{1})$ satisfying a suitable moment condition and such that their supports genererate discrete groups acting proximally…

Stationary boundaries on the space of amenable subgroups and C*-simplicity

The Poisson boundary of Thompson's group T is not the circle

Probabilistic Tits alternative for circle diffeomorphisms

The Poisson boundary of Thompson's group $T$ is not the circle