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Statistics in conjugacy classes in free groups
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Kenison, George and Sharp, Richard (2019) Statistics in conjugacy classes in free groups. Geometriae Dedicata, 198 . pp. 57-70. doi:10.1007/s10711-018-0329-2
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Official URL: https://doi.org/10.1007/s10711-018-0329-2
Abstract
In this paper, we establish statistical results for a convex cocompact 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.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Free groups, Group theory | ||||||||
| Journal or Publication Title: | Geometriae Dedicata | ||||||||
| Publisher: | Springer | ||||||||
| ISSN: | 0046-5755 | ||||||||
| Official Date: | 2 February 2019 | ||||||||
| Dates: |
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| Volume: | 198 | ||||||||
| Page Range: | pp. 57-70 | ||||||||
| DOI: | 10.1007/s10711-018-0329-2 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access | ||||||||
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