English

Statistics in conjugacy classes in free groups

Dynamical Systems 2018-02-06 v2 Group Theory

Abstract

In this paper, we establish statistical results for a convex co-compact action of a free group on a CAT(1-1) 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.

Keywords

Cite

@article{arxiv.1708.04478,
  title  = {Statistics in conjugacy classes in free groups},
  author = {George Kenison and Richard Sharp},
  journal= {arXiv preprint arXiv:1708.04478},
  year   = {2018}
}

Comments

13 pages, expanded remarks, accepted for publication

R2 v1 2026-06-22T21:15:03.082Z