Random braids and random walks on finite groups
Probability
2025-08-05 v2
Abstract
In this paper, we study properties of random walks on finite groups and later use them to obtain the limiting braid length expectation and component number of braid closure in a model of random braids, which is constructed by lifting elements of random walk on a Coxeter group to a braid group.
Cite
@article{arxiv.2507.21999,
title = {Random braids and random walks on finite groups},
author = {Heorhii Zhylinskyi},
journal= {arXiv preprint arXiv:2507.21999},
year = {2025}
}
Comments
11 pages, 5 figures