ABSTRACT
We discuss a numerical study on random knotting probability with extensive use of the quantum invariants of knots and links. We define the knotting probability (PK(N)) by the probability of an N-noded random polygon being topologically equivalent to a given knot K. The question is how the knotting probability of a knotted ring polymer can change with respect to the step number N with its knot type being fixed. From the result of numerical simulation we propose a universal exponent for the random knotting probability, which may be a new numerical knot invariant.
