Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903926 | Topology and its Applications | 2018 | 15 Pages |
Abstract
In a previous work, the first and third authors studied a random knot model for all two-bridge knots using billiard table diagrams. Here we present a closed formula for the distribution of the crossing numbers of such random knots. We also show that the probability of any given knot appearing in this model decays to zero at an exponential rate as the length of the billiard table goes to infinity. This confirms a conjecture from the previous work.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Moshe Cohen, Chaim Even-Zohar, Sunder Ram Krishnan,