Open Access
2017 On the most expected number of components for random links
Kazuhiro Ichihara, Ken-ichi Yoshida
Tohoku Math. J. (2) 69(4): 637-641 (2017). DOI: 10.2748/tmj/1512183634

Abstract

We consider a random link, which is defined as the closure of a braid obtained from a random walk on the braid group. For such a random link, the expected value for the number of components was calculated by Jiming Ma. In this paper, we determine the most expected number of components for a random link, and further, consider the most expected partition of the number of strings for a random braid.

Citation

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Kazuhiro Ichihara. Ken-ichi Yoshida. "On the most expected number of components for random links." Tohoku Math. J. (2) 69 (4) 637 - 641, 2017. https://doi.org/10.2748/tmj/1512183634

Information

Published: 2017
First available in Project Euclid: 2 December 2017

zbMATH: 06850818
MathSciNet: MR3732892
Digital Object Identifier: 10.2748/tmj/1512183634

Subjects:
Primary: 57M25
Secondary: 20F36 , 60G50

Keywords: Braid , random link , Random walk

Rights: Copyright © 2017 Tohoku University

Vol.69 • No. 4 • 2017
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