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math.GT2019★ 4 cited
Hyperbolic knots are not generic
Yury Belousov, Andrei Malyutin
We show that the proportion of hyperbolic knots among all of the prime knots of or fewer crossings does not converge to as approaches infinity. Moreover, we show that i…
math.GT2019★ 3 cited
Hyperbolic links are not generic
Andrei V. Malyutin
We show that if is a nontrivial knot then the proportion of satellites of among all of the prime non-split links of or fewer crossings does not converge to as a…