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arXiv · 1708.04478

Statistics in conjugacy classes in free groups

George Kenison·Richard Sharp
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Abstract

In this paper, we establish statistical results for a convex co-compact action of a free group on a CAT($-1$) space where we restrict to a non-trivial conjugacy class in the group. In particular, we obtain a central limit theorem where the variance is twice the variance that appears when we do not make this restriction.

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George Kenison, Richard Sharp. 2017-08-15. Statistics in conjugacy classes in free groups. https://arxiv.org/abs/1708.04478

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