Random braids and random walks on finite groups

Heorhii Zhylinskyi

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arXiv · 2507.21999

Random braids and random walks on finite groups

Heorhii Zhylinskyi

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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.

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Heorhii Zhylinskyi. 2025-07-29. Random braids and random walks on finite groups. https://arxiv.org/abs/2507.21999

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