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math.GR2022
Stability of hyperbolic groups acting on their boundaries
Kathrynn Mann, Jason Fox Manning, Theodore Weisman
A hyperbolic group acts by homeomorphisms on its Gromov boundary. We use a dynamical coding of boundary points to show that such actions are topologically stable in the dynamical s…
math.GR2022★ 2 cited
An extended definition of Anosov representation for relatively hyperbolic groups
Theodore Weisman
We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher r…