Models of Random Knots

Understand

The study of knots and links from a probabilistic viewpoint provides insight into the behavior of "typical" knots, and opens avenues for new constructions of knots and other topological objects with interesting properties.

• The knotting of random curves arises also in applications to the natural sciences, such as in the context of the structure of polymers.
• We present here several known and new randomized models of knots and links.
• We review the main known results on the knot distribution in each model.