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math.MG2025
Hyperbolic Simplices of Maximal Inradius
Bruno Duchesne, Christopher-Lloyd Simon
For , consider a hyperbolic -dimensional simplex , defined by points in the compactified hyperbolic space .…
math.DS2025
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…