Bruno Duchesne

collaborators

4 papers

math.MG2026

The variety of group actions on all algebraic real hyperbolic spaces

Bruno Duchesne, Christopher-Lloyd Simon

For a cardinal $I^º$ , denote by $H^{I^} º$ the algebraic real hyperbolic space of dimension $I^º$ . For a topological group $I^$ , we study the set of continuous representations $…

math.DS2026

Homeomorphism groups of basilica, rabbit and airplane Julia sets

Bruno Duchesne, Matteo Tarocchi

The airplane, the basilica and the Douady rabbit (and, more generally, rabbits with more than two ears) are well-known Julia sets of complex quadratic polynomials. In this paper we…

math.MG2025

Hyperbolic Simplices of Maximal Inradius

Bruno Duchesne, Christopher-Lloyd Simon

For $n \in N$ , consider a hyperbolic $n$ -dimensional simplex $I^$ , defined by $1 + n$ points in the compactified hyperbolic space $H^{n} ⊔ \partial H^{n}$ .…

math.GR2025

Topological properties of Wazewski dendrite groups

Bruno Duchesne

Homeomorphism groups of generalized WaÅ¼ewski dendrites act on the infinite countable set of branch points of the dendrite and thus have a nice Polish topology. In this paper, we s…