Pénélope Azuelos

collaborators

3 papers

math.GR2026

Periodic quasiflats in hierarchically hyperbolic spaces

Pénélope Azuelos, Mark Hagen

We prove a quasiflat closing theorem and a coarse flat torus theorem for hierarchically hyperbolic groups (HHGs). Namely, given an HHG $G$ , we prove that $G$ is hyperbolic if and o…

math.MG2025

Uncountably many homogeneous real trees with the same valence

Pénélope Azuelos

For any cardinal $κ \geq 2$ , there is a unique complete real tree whose points all have valence $κ$ . In this note, we show that, when $κ \geq 3$ , it is necessary to assume completene…

math.GR2025

A guide to constructing free transitive actions on median spaces

Pénélope Azuelos

We construct large families of groups admitting free transitive actions on median spaces. In particular, we construct groups which act freely and transitively on the complete unive…