Random braids and random walks on finite groups

H.M. Zhylinskyi
Theory of Stochastic Processes
Vol.29 (45), no.1, 2025, pp.129-138
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.
DOI: https://doi.org/10.3842/tsp-7919524123-94
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