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Extremal entropy for products of Fuchsian representations

Canary, Richard et al.
arXiv (All) · Papers
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dynamical-systemsgeometric-topology
In this paper, we count the number of (almost) extremally stretched closed geodesics for a pair of (non-conjugate) Fuchsian representations of a closed surface group, and show that it has subexponential growth. We then deduce that, as a discrete subgroup of $\mathsf{PO}(2, 1) \times \mathsf{PO}(2, 1
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