Geodesic
Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braids
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 208-221

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We give the upper estimate for the cardinality of the set $\Omega(n,\mu)$ of knots generated by closed one- and two-dimensional braids with $n$ generators of the irreducible length $\mu$ in the limit as $n\gg1$ and $\mu\gg1$. 
@article{TMF_1999_120_2_a2,
     author = {R. R. Bikbov and S. K. Nechaev},
     title = {Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braids},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {208--221},
     publisher = {mathdoc},
     volume = {120},
     number = {2},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_2_a2/}
}
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R. R. Bikbov; S. K. Nechaev. Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braids. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 208-221. http://geodesic.mathdoc.fr/item/TMF_1999_120_2_a2/