On the most expected number of components for random links
TLDR
In this paper, the expected number of components for a random link, and further, the most expected partition of the number of strings in a random braid for a given braid group was determined.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.read more
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A random link via bridge position is hyperbolic
Kazuhiro Ichihara,Jiming Ma +1 more
TL;DR: In this article, it was shown that a random link defined by random bridge splitting is hyperbolic with asymptotic probability 1, where ρ is the number of bridges.
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