Hyperconvex representations and exponential growth
2013 ◽
Vol 34
(3)
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pp. 986-1010
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Keyword(s):
AbstractLet $G$ be a real algebraic semi-simple Lie group and $\Gamma $ be the fundamental group of a closed negatively curved manifold. In this article we study the limit cone, introduced by Benoist [Propriétés asymptotiques des groupes linéaires. Geom. Funct. Anal. 7(1) (1997), 1–47], and the growth indicator function, introduced by Quint [Divergence exponentielle des sous-groupes discrets en rang supérieur. Comment. Math. Helv. 77 (2002), 503–608], for a class of representations $\rho : \Gamma \rightarrow G$ admitting an equivariant map from $\partial \Gamma $ to the Furstenberg boundary of the symmetric space of $G, $ together with a transversality condition. We then study how these objects vary with the representation.
2013 ◽
Vol 65
(1)
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pp. 66-81
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Keyword(s):
Keyword(s):
1992 ◽
Vol 44
(5)
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pp. 897-910
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Keyword(s):
2018 ◽
Vol 2020
(5)
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pp. 1346-1365
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1992 ◽
Vol 34
(3)
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pp. 379-394
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Keyword(s):
2013 ◽
Vol 15
(03)
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pp. 1250056
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Keyword(s):
2011 ◽
Vol 148
(3)
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pp. 807-834
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Keyword(s):
2014 ◽
Vol 07
(01)
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pp. 23-46
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