Corentin Le Bars

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20242026

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math.GR2026

The geometry of triples of antipodal ideal chambers of affine buildings

Corina Ciobotaru, Corentin Le Bars

In this article, we investigate two notions of genericity for triples of antipodal ideal chambers in a locally finite affine building $X$ : one defined at the ideal boundary $X^{\in…

math.GR2026

Dynamical boundaries of affine buildings: C*-simplicity and Poisson boundaries

Corina Ciobotaru, Corentin Le Bars

We investigate a class of groups acting on possibly exotic affine buildings $X$ and possessing good proximal properties. Such groups are termed of general type, and their dynamics…

math.GR2025

Stationary measures and random walks on $A ~_{2}$ -buildings

Corentin Le Bars

We consider a non-elementary group action $G ↷ X$ of a locally compact second countable group $G$ on a possibly exotic non-discrete affine building $X$ of type $\til…

math.GR2024

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

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.GR2024

Central limit theorem on CAT(0) spaces with contracting isometries

Corentin Le Bars

Let $G$ be a group with a non-elementary action on a proper CAT(0) space $X$ , and let $I^¼$ be a measure on $G$ such that the random walk $(Z_{n})_{n}$ generated by $I^¼$ has finite seco…

The geometry of triples of antipodal ideal chambers of affine buildings

Dynamical boundaries of affine buildings: C*-simplicity and Poisson boundaries

Stationary measures and random walks on A~2​-buildings

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

Central limit theorem on CAT(0) spaces with contracting isometries

Stationary measures and random walks on $A ~_{2}$ -buildings

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