Timeline for Are small knots generic?
Current License: CC BY-SA 3.0
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| May 22, 2013 at 7:52 | comment | added | Julien Marché | As far as I understand, the article by Finkelstein-Moriah shows that in a certain random model (using plat closure of braids) small knots are sparse. This model is not very geometric (I would prefer the closure of a random braid for instance) but this gives some information, thanks! | |
| May 22, 2013 at 4:23 | comment | added | Misha | Yes, of course, but the question was about statistics of knots, not existence of large knots. For instance, one can ask for the probability of two natural numbers to be coprime (the correct answer is $6/\pi^2$, which is approximately $0.61$). Saying that 2 and 4 are not coprime numbers would not answer such question. | |
| May 22, 2013 at 4:18 | history | answered | Makoto Ozawa | CC BY-SA 3.0 |