Stability for hyperbolic groups acting on boundary spheres
arXiv:2104.01269
Abstract
A hyperbolic group acts by homeomorphisms on its Gromov boundary. We show that if this boundary is a topological n-sphere the action is topologically stable in the dynamical sense: any nearby action is semi-conjugate to the standard boundary action.
v2: 28 pages, 3 figures. Introduction rewritten and some other minor changes. This version accepted for publication in Forum of Math, Sigma