On the most expected number of components for random links

Kazuhiro Ichihara; Ken-ichi Yoshida

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arXiv · 1507.03110

On the most expected number of components for random links

Kazuhiro Ichihara·Ken-ichi Yoshida

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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.

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Kazuhiro Ichihara, Ken-ichi Yoshida. 2015-07-11. On the most expected number of components for random links. https://arxiv.org/abs/1507.03110

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