Corentin Le Bars

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20232025

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math.GR2024

A Tits alternative for $R$ -buildings of type $A ~_{2}$

Corentin Le Bars, Jean Lécureux, Jeroen Schillewaert

Let $G$ be a group with a non-elementary action on a (not necessarily discrete) $A ~_{2}$ -buildings. We prove that, given a random walk on $G$ , isometries in $G$ are strongly r…

math.GR2023

Marches aléatoires et éléments contractants sur des espaces CAT(0)

Corentin Le Bars

This thesis is dedicated to random walks on spaces with non-positive curvature. In particular, we study the case of group actions on CAT(0) spaces that admit contracting elements,…

A Tits alternative for R-buildings of type A~2​

Marches aléatoires et éléments contractants sur des espaces CAT(0)

A Tits alternative for $R$ -buildings of type $A ~_{2}$