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• W2092470018 abstract "Let $mu$ be a probability distribution on the braid group $B_{n}$ with $n geq 3$ strands. We observe that for a random walk $omega _{n,k}$ of length $k$ on $B_{n}$, the probability that the closure $widehat {omega _{n,k}}$ is a hyperbolic link in $S^{3}$ converges to 1 as $k$ tends to infinity. Moreover, under a mild assumption on $mu$, we prove the probability that the closure $widehat {omega _{n,k}}$ is a hyperbolic knot which has no non-trivial exceptional surgeries is larger than zero for $k$ large enough. The proofs combine several recent deep results." @default.
• W2092470018 created "2016-06-24" @default.
• W2092470018 creator A5026848032 @default.
• W2092470018 date "2013-10-31" @default.
• W2092470018 modified "2023-09-27" @default.
• W2092470018 title "The closure of a random braid is a hyperbolic link" @default.
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• W2092470018 doi "https://doi.org/10.1090/s0002-9939-2013-11775-2" @default.
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