5 papers
Entropy rigidity for cusped Hitchin representations
Richard Canary, Tengren Zhang, Andrew Zimmer
We establish an entropy rigidity theorem for Hitchin representations of all geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin rep…
Patterson-Sullivan measures for relatively Anosov groups
Richard Canary, Andrew Zimmer, Tengren Zhang
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relatively Anosov groups. As applications we obtain an entropy gap theorem and a stric…
Convex co-compact groups with one dimensional boundary faces
Mitul Islam, Andrew Zimmer
In this paper we consider convex co-compact subgroups of the projective linear group. We prove that such a group is relatively hyperbolic with respect to a collection of virtually…
Regularity of limit sets of Anosov representations
Tengren Zhang, Andrew Zimmer
In this paper we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a differentiable submanifold of projective space with H…
Relatively Anosov representations via flows II: examples
Feng Zhu, Andrew Zimmer
This is the second in a series of two papers that develops a theory of relatively Anosov representations using the original "contracting flow on a bundle" definition of Anosov repr…