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- W2109447650 abstract "Let $Gamma$ be a discrete subgroup of $mathrm{PGL}(d,mathbb R)$ . Fix a norm $| |$ on $mathbb R^d$ and let $N_{Gamma}(t)$ be the number of elements in $Gamma$ whose operator norm is $leq t$. In this article we prove an asymptotic for the growth of $N_{Gamma}(t)$ when $ttoinfty$ for a class of $Gamma$’s which contains, in particular, Hitchin representations of surface groups and groups dividing a convex set of $mathbb P(mathbb R^d)$. We also prove analogue counting theorems for the growth of the spectral radii. More precise information is given for Hitchin representations." @default.
- W2109447650 created "2016-06-24" @default.
- W2109447650 creator A5059302062 @default.
- W2109447650 date "2014-01-01" @default.
- W2109447650 modified "2023-10-10" @default.
- W2109447650 title "Quantitative properties of convex representations" @default.
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- W2109447650 doi "https://doi.org/10.4171/cmh/324" @default.
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