Random braids and random walks on finite groups

Fuente: arXiv
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Main Author: Zhylinskyi, Heorhii
Format: Preprint
Published: 2025
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author Zhylinskyi, Heorhii
author_facet Zhylinskyi, Heorhii
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_21999
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Random braids and random walks on finite groups
Zhylinskyi, Heorhii
Probability
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.
title Random braids and random walks on finite groups
topic Probability
url https://arxiv.org/abs/2507.21999