Mart'in Gilabert Vio

collaborators

4 papers

math.GR2026

Groups with classifiable actions on the line

JoaquÃn Brum, MartÃn Gilabert Vio, NicolÃ¡s Matte Bon

We motivate and study the class $C$ of countable groups $G$ such that the conjugacy relation between minimal actions of $G$ on $R$ by orientation-preserving home…

math.GR2026

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

Anna Cascioli, MartÃn Gilabert Vio, Eduardo Silva

We give a sufficient condition for a countable group $G$ to possess a probability measure $I^¼$ that admits a non-trivial $I^¼$ -boundary modeled in the space $\mathrm{Sub}_{\mathrm{a…

math.DS2025

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

MartÃn Gilabert Vio, Cosmas Kravaris, Eduardo Silva

Let $I^¼$ be a nondegenerate probability measure with finite entropy on a countable group $G \leq Homeo_{+} (S^{1})$ of orientation-preserving homeomorphisms of the circle actin…

math.GR2025

Probabilistic Tits alternative for circle diffeomorphisms

MartÃn Gilabert Vio

Let $I^¼_{1}, I^¼_{2}$ be probability measures on $Diff_{+}^{1} (S^{1})$ satisfying a suitable moment condition and such that their supports genererate discrete groups acting proximall…

Groups with classifiable actions on the line

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