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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 ISSN 0046-5755.
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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, Engineering and Medicine > 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 (Creative Commons) | ||||||||
Date of first compliant deposit: | 5 February 2018 | ||||||||
Date of first compliant Open Access: | 11 April 2018 | ||||||||
RIOXX Funder/Project Grant: |
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