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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

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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
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:
DateEvent
2 February 2019Published
9 February 2018Available
4 February 2018Accepted
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
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
DTA Award Number 1359001[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
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