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Regularity of limit curves of Anosov representations Zhang, Tengren


Anosov representations are representations of a hyperbolic group to a non-compact semisimple Lie group that are ``geometrically well-behaved''. In the case when the target Lie group is $\mathrm{PGL}(d,\mathbb{R})$, these representations admit a limit set in $d-1$ dimensional projective space that is homeomorphic to the boundary of the group. Under some irreducibility conditions, we give necessary and sufficient conditions for when this limit set is a $C^{1,a}$ sub manifold. This is joint work with A.Zimmer.

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