2 papers
math.GT2025
Busemann points are nowhere dense
Aitor Azemar, Maxime Fortier Bourque
We prove that the set of Busemann points (the limits of almost-geodesic rays) is nowhere dense in the horoboundary of the Teichmüller metric for all Teichmüller spaces of complex d…
math.GT2018
Random walks on Convergence Groups
Aitor Azemar
We extend some properties of random walks on hyperbolic groups to random walks on convergence groups. In particular we prove that if a convergence group acts on a compact metri…