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arXiv · 1806.00576

Homogeneous Asymptotic Limits of Uniform Averages on Fuchsian Groups

Tamir Hemo
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Abstract

We show that averages on geometrically finite Fuchsian groups, when embedded via a representation into a space of matrices, have a homogeneous asymptotic limit under appropriate scaling. This generalizes some of the results of Maucourant to subgroups of infinite co-volume. The resulting disrtibution is expressed in terms of a measure considered by Mohammadi and Oh.

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BibTeXRIS

Tamir Hemo. 2018-06-02. Homogeneous Asymptotic Limits of Uniform Averages on Fuchsian Groups. https://arxiv.org/abs/1806.00576

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