Title

The Knotting of Equilateral Polygons in R-cubed

Document Type

Article

Publication Date

1995

Abstract

It was proved in [4] that the knotting probability of a Gaussian random polygon goes to 1 as the length of the polygon goes to infinity. In this paper, we prove the same result for the equilateral random polygons in R3. More precisely, if EPn is an equilateral random polygon of n steps, then we have

P(EPn is knotted) > 1 - exp(-n∊)

provided that n is large enough, where ∊ is some positive constant.